Profit And Loss. 45
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PROFIT & LOSS 1. Cost of 3 cricket balls = cost of 2 pairs of leg pads cost of 3 pairs of leg pads = cost of 2 pars of gloves cost of 3 pairs of gloves=cost of 2 cricket bat if a cricket bat costs Rs.54, what is the cost of a cricket ball? Ans Rs.16 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Let us assume Cricket balls = A ; Leg pads = B ; Gloves = C ; Cricket bat = D Answer with Explanation: 3A = 2 B ⇒ B
=
3B = 2 C ⇒ C
= =
C
=
3C = 2 D ⇒ D
= =
D D = 54 ⇒
= 54
3 A 2 3 B 2 3 3 ( A) 2 2 9 A 4 3 C 2 3 9 ( A) 2 4 27 A 8 27 = 8 A
A = 16
Profit and Loss, BU
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2. If by selling an article for RS.100, a man gains Rs.15 then his gain percent is Ans 17 11/17% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price = selling price - profit
Answer with Explanation: Step : 1 Cost price = selling price - profit =
∴Profit per cent =
Profit and Loss, BU
100 – 15 = 85 15 85
x 100
=
300 / 17
=
17
11 17
%
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3. What is the loss percent if a man loses Rs.10 on selling and article for Rs.100? Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Cost price = selling price + loss Answer with Explanation: Step : 1 Cost price = selling price + loss = 100 + 10 = 110 Step : 2 Loss per cent
=
10 110
= =9
Profit and Loss, BU
x 100 100 11
1 11
%
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4. A shopkeeper sold an article for Rs.2564.36. Approximately what was his profit percent if the cost price of the article was Rs.2400? Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price + Profit = selling price Answer with Explanation: Cost price is 2400 Profit is X% ie. 2400 + 2400 x 1/100 x X = 2564.36 2400 + 24x = 2564.36 24x X
= 2564.36 – 2400 = 164.36 / 24 =
6.848
Approximately 7 %
Profit and Loss, BU
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5. A man sold an article for Rs.247.50, thereby gaining 12 ½% . The cost of the article was. Rs.220 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price + Profit = Selling price Answer with Explanation: Let us assume cost price is x X + X x 25/2 x 1/100 = 247.50 X + 25x/200 = 247.50 (taking LCM) 200x + 25x = 247.50 x 200 225x = 49500 X = 49500 / 225 X = 220
∴The cost price is Rs. 220/-
Profit and Loss, BU
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6. A retailer buys a radio for Rs.225. His overhead expenses are Rs.15 he sells the radio for Rs.300. The profit percent of the retailer is ……….Ans25 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price + profit = selling price Answer with Explanation: Cost price = 225 + 15 = 240 Ie., 240 + X x 240 x 1/100 = 300 240 +
24 x 10
= 300 (taking LCM)
2400 + 24x = 3000 24x = 3000 – 2400 24x = 600 X = 600/24 X = 25.
Profit and Loss, BU
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7. A shopkeeper bought an article for Rs.319.60. Approximately at what price should he sell the article to make 25% profit ans Rs.400 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Assume cost = 100 Profit = 25 / 125 100 ⇒ 125 319.60 = ? ⇒
319 .60 x125 100
⇒ 399.5 ⇒ 400 approximately.
Profit and Loss, BU
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8. If the selling price of an article is 4/3 times its cost price, the profit percent is ans…. 33 1/3 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Answer with Explanation: Cost price = selling price – profit Let cost price is x and selling price is 4/3 x Ie., profit = selling price – cost price =
4 x 3
-x
= x/3 Profit % =
profit x100 cos tprice
x 3
= =
100 3
x
= 33
Profit and Loss, BU
=
x 3 x
100 x 1 3
%
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9. There would be 10% loss if a to is sold at RS.10.80 per piece. At what price should it be sold to earn a profit of 20% ans…Rs.14.40 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Step : 1 Assume cost = 100
Assume cost = 100
Loss = 10 / 90
profit
= 20 = 120 = ?
90 ⇒ 10.80 120 = ? 120 x10 .80 90
= 14.40
Profit and Loss, BU
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10.By selling an article for Rs.19.50 a dealer makes a profit of 30% by how much should he increase his selling price so as to make a profit of 40% an ….Rs.1.50 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Step : 1 Assume cost = 100
Assume cost = 100
Profit =30 = 130
profit
= 40 = 140 = ?
130 = 19.5 140 = ?
⇒
140 x19 .5 130
= 21
Ie. Selling price = 21 – 19.5 =
Profit and Loss, BU
Rs. 1.5
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11.Rahim buys mangoes at the rate of 3kg for Rs.21 and sells them at 5kg for Rs.50. To earn Rs.102 as profit, he must sell. Ans 34kg Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Cost : 3 kg Mangoes Rs. 21 ⇒ 1 kg = Rs. 7
Selling Cost: 5 kg = 50 ⇒ 1 kg = 10 Difference for 1 kg is (10-7) = 3 1 kg = Rs.3 ? = Rs.102 102 / 3 = 34 kg
Profit and Loss, BU
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12.If books bought at prices ranging from Rs.200 to Rs.350 are sold at prices ranging from Rs.300 to Rs.425, what is the greatest possible profit that might be made in selling eight books ? ans Rs.1800 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: profit = selling price – cost price
Answer with Explanation: Let us consider all the eight books are bought at least cost 200 x 8 = 1600 Selling at the highest price 425 x 8 = 3400
∴Profit = selling price – cost price
=
3400 - 1600 = 1800
Profit and Loss, BU
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13.The cost price of 20 articles is the same as selling price of 15 articles. The profit percent in the transaction is ans : 33 1/3 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: 20 −15 15 5 15
x 100
x 100
=
100/3
=
33 1/3 %
Profit and Loss, BU
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14. A man sells 320 mangoes at the cost price of 400 mangoes. His gain
perecent is Ans, 25% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Gain percentage = profit / cost price x 100 Answer with Explanation: 400 – 320 = 80 80 320
x 100 = 25 %
Profit and Loss, BU
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15.If the cost price of 12 tables is equal to the selling price of 16 tables, the loss percent is ans 25% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
cos tprice − sellingric e sellingpri ce
x 100
Result is +ve = we get a profit Result is –ve = we get a loss Answer with Explanation: 12 −16 x 100 16 −4 x 100 = -25% 16
= 25% loss.
Profit and Loss, BU
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16.If the selling price of 18 articles is equal to the CP of 21 articles the loss or gain percent ans: 16 2/3 % loss Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
cos tprice − sellingric e sellingpri ce
x 100
Result is +ve = we get a profit Result is –ve = we get a loss Answer with Explanation: 21 −18 X 100 18 3 X 100 18
100 / 6 = 50/3 = 16 2/3 % profit
Profit and Loss, BU
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17.If by selling 100 mangoes the CP of 120 mangoes is realized the gain percent is ans 6 1/11% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Let cost price of each Mango be Re.1 Cost price of 120 Mangoes is Rs. 120 Selling price of 100 Mangoes is rs. 100
Gain is = 20/100 x 100 =
20%
Profit and Loss, BU
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18.By selling a pen for Rs.15, a man loses one sixteenth of what it costs him. The cost of the pen is Rs.16 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Let us assume cost price is x Ie., x – 15 = X – 15 -
1 16
x
x 16
x = 15 16 16 x − x = 15 16 15 x = 15 16 15 x16 X = 15
X-
X = 16
Profit and Loss, BU
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19. By selling an article, sheetal earned a profit equal to 1/4th of the price
he bought it. If he sold it for Rs.375 what was the cost price ans RS.300 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Selling price = cost price + profit Answer with Explanation: Let us cost price is x 375 = x +
1 4
375 =
4x + x 4
375 =
5x 4
375 x 4 5
x
=x
X = 300 The cost price is Rs. 300
Profit and Loss, BU
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20.A shopkeeper on selling a pen for Rs.10, loses 1/11 of what it costs him. His cost price is ans 11. Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Loss = Cost price – selling price Answer with Explanation: Given : Loss is 1 11
1 11
of Cost Price
CP = CP – 10
10 = CP 10 =
1 11
CP
11CP −1CP 11
⇒ 10 =
10 11
CP ⇒
10 x11 10
= CP
Cost Price = 11
Profit and Loss, BU
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21.A fruit seller purchases oranges at the rate of 3 for Rs.5 and sells them at 2 for Rs.4. His profit in the transaction is ans 20% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
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22.If I purchased 11 books for Rs.10 and sold all the books at the rate of 10 books for Rs.11, the profit percent is ans 21% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
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23.A man bought a number of oranges at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should be sell them to make a profit of 20%? Answer: Rs.6 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
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24.
A man buys eggs at 2 for Re.1 and an equal number at 3 for Rs.2 and sells the whole at 5 for Rs.3. His gain or loss per cent is ? Answer : 2 6/7% gain Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
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25.Ajay bought 15 kg os dhal at the rate of Rs.14.50 per kg and 10kg at the rate of Rs.13 per kg. He mixed the two and sold the mixture at the rate of Rs.15 per kg. What was his total gain in this transaction? Answer :Rs. 27.50 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: 15 → 14.50 10 → 13 The difference rate is 15 (15 – 14.50) ⇒ 15 x 0.50 = 7.5 10 (15 – 13) ⇒ 10 x 2 = 20.0 Total = 27.5 Answer = Rs. 27.50
Profit and Loss, BU
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By mixing two qualities of pulses in the ratio 2:3 and selling the mixture at the rate of Rs.22 per kg a shopkeeper makes a profit of 10%. If the cost of the smaller quantity be Rs.14 per kg, the cost per kg of the large quantity is ? Answer : Rs 24 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
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26.Toffees are bought at the rate of 3 for a rupee. To gain 50% they must be sold at? Answer : 2 for a Rupee Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price + profit = Selling Price Answer with Explanation: Let 3 toffees cost price is Re.1 Ie. 1 toffee cost price is 1/3
Ie., 1/3 + 1/3 x 50% = x
1 3
+
1 3
x 50 x
1 3
+
1 6
=x
2 +1 6
X=
1 100
=x
=x
1 2
2 toffees for a rupee.
Profit and Loss, BU
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The cost price of 12 article is same as selling price of 9 articles. Then find the Gain Percentage? Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Gain Percentage = Profit / cost price x 100 Answer with Explanation: 12 − 9 9
x 100
3/9 x 100 100/3 = 33 1/3
Profit and Loss, BU
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Alfred buys an old scooter for Rs.4700 and spends Rs.800 on its repairs. If he sells the scooter for Rs.5800, his gain percent is ? Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Profit Percentage = Profit / cost price x 100 Answer with Explanation: Cost price
=
4700 +800 = 5500
Profit
=
5800 – 5500 = 300
Profit percentage = =
Profit and Loss, BU
300 / 5500 x 100 5.45%
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27. When a plot is sold for Rs. 18,700, the owner loses 15%. At what
price must the plot be sold in order to gain 15%? Answer : Rs. 25,300 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Step : 1 Assume cost = 100 Loss = 15 = 85
Assume Cost = 100 gain =
15 = 115
Sold for Rs. 18,700 85 ⇒ 18700 85 = 18,700
115 = ?
To find : 115 = ? 85x = 115 x 18,700 X=
115 x18700 85
X= 25300
Profit and Loss, BU
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If selling price is doubled, the profit triples. Find the profit percent Answer : 100 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
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The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit? Answer : Rs. 2000 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
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28.A man bought apples at the rate of 8 for Rs.34 and sold them at the rate of 12 for Rs.57. How many apples should be sold to earn a net profit of Rs. 45? Answer : 90 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: To find cost price per apple: 8 apples = Rs. 34 1 apple = Rs. 4.25 Selling price per apple: 12 apples = Rs. 57 1 apple = Rs. 4.75 Profit per apple = selling price – cost price 4.75 – 4.25 = .50 Therefore X x 0.50 = 45 X = Rs. 90
Profit and Loss, BU
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29.A man bought some oranges at Rs.10 per dozen and bought the same number of oranges at Rs.8 per dozen. He sold these oranges at Rs.11 per dozen and gained Rs. 120. The total number of oranges bought by him was : Answer : 60 dozens Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Cost price : 1 dozen oranges = Rs. 10 1 dozen oranges = Rs. 8 2 dozen oranges
=
Rs. 18
1 dozen oranges
=
Rs. 9
Selling price: 1 dozen oranges = Rs. 11 Profit per dozen is Rs. 2 Therefore x dozen x profit = Rs. 120 x = 120/2 X = 60 dozen
Profit and Loss, BU
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39. A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs.225 for it, the cost price of the bicycle for A is: Rs.110
Rs.120
Difficulty Level : Easy
Rs.125 Moderately easy
Rs.150 Difficult
Basic Formula:
Answer with Explanation: Selling price for 8 is Rs. 225 Cost price + profit = 225
X+
25 x 100
= 225
X = 180 Cost price of 8 is 180 Selling price of a is 180 Cost price + profit = 180 Y+
20 y 100
= 180
Y = 150 The cost price of A is Rs. 150/-
Profit and Loss, BU
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40. If 5% more is gained by selling an article for Rs.350 than by selling it for Rs.340, the cost of the article is: Rs.50
Rs.160
Difficulty Level : Easy
Rs.200 Moderately easy
Rs.225 Difficult
Basic Formula: Cost price + profit = selling price X = Cost price Y = Profit Answer with Explanation: X+
xy 100
X+
x( y + 5) 100
= 340
⇒ 100x +xy = 34000
= 350 ⇒ 105x +xy = 35000 (-)
-5 x = - 1000 X = 200
Profit and Loss, BU
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41. Hemant sold 10 sarees for a total profit of Rs.460 and 12 sarees for a total profit of Rs.144. At what profit per saree should he sell the remaining 20 sarees so that he gets an average profit of Rs.18 per saree? Rs.7.40
Rs.7.60
Difficulty Level : Easy
Rs.7.80
Moderately easy
Rs.8 Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
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42. What is the selling price of a car? If the cost of the car is Rs. 60 and a profit of 10% over selling price is earned? Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price + profit = Selling Price Answer with Explanation: Cost price is Rs. 60 Profit is 10% of Cost Price 10 100
x 60 = 6
Selling Price = CP + Profit =
60 + 6 = 66
SP is Rs. 66
Profit and Loss, BU
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43. The cost of an item is Rs. 12.60. If the profit is 10% over selling price what is the selling price? Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price + profit = Selling Price Answer with Explanation: Cost Price = 12.60 Profit = 10% of CP =
10 100
x 12.60
=
126 100
= 1.26
Selling Price = CP + Profit =
12.60 + 1.26
=
13.86
Profit and Loss, BU
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44. A man gains 10% by selling a certain article for a certain price. If he sells it at double the price, the profit made is : Answer : 120% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
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45. Kanaka owns aplot worth Rs.10,000. He sells it to Raman at 10% profit Raman sells the plot back to kanaka at a loss of 10%. In the whole transaction kanaka gets : Answer : Rs.1,100 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
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46. Profit after selling a commodity for Rs. 425 is the same as the loss after selling it for Rs. 355. What is the cost of the commodity? Answer : 390 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Profit = Selling Price – Cost Price Answer with Explanation: Assume cost Price = x P = 425 –x P ⇒ 425 – x = 355 +x 425 – 355 = 2x 70 = 2x X = 35 P = 425 – 35 = 390
Profit and Loss, BU
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47. An article when sold at a gain of 5% yields Rs.15 more than when sold at a loss of 5%. What is the cost price? Answer : Rs.150 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Let the cost price is x 5% gain ⇒ 5% loss = 105 100
x-
100 − 5 100
95 100
105 x − 95 x 100 10 x 100
X=
100 + 5 100
=
=
105 100
95 100
x = 15 = 15
= 15 1500 10
= 150
Profit and Loss, BU
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48. A reduction of 25% in the price of eggs will enable one to buy 4 dozen more eggs for Rs.96. What is the price per dozen? Answer : Rs.8 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
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49. If an article is sold at 5% gain instead of 5% loss, the seller gets Rs.6.72 more. The Cost Price of the article is : Answer : Rs.67.20 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
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50. Two-third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs.400, the value of the consignment (in rupees) was : Rs. 15,000 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Let the value of the consignment is Rs. X 2 3
1 3
x X 5% -
2x 3
5 100
x
2x 300
-
x X 2% = 400
x 3
x
2 100
= 400
10 x 300
-
8x 300
= 400 ⇒ 8x = 120000
= 400
X = 120000/8 = 15000
Profit and Loss, BU
Page 46
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Moderately easy
Difficult
Basic Formula: Let us assume Cricket balls = A ; Leg pads = B ; Gloves = C ; Cricket bat = D Answer with Explanation: 3A = 2 B ⇒ B
=
3B = 2 C ⇒ C
= =
C
=
3C = 2 D ⇒ D
= =
D D = 54 ⇒
= 54
3 A 2 3 B 2 3 3 ( A) 2 2 9 A 4 3 C 2 3 9 ( A) 2 4 27 A 8 27 = 8 A
A = 16
Profit and Loss, BU
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2. If by selling an article for RS.100, a man gains Rs.15 then his gain percent is Ans 17 11/17% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price = selling price - profit
Answer with Explanation: Step : 1 Cost price = selling price - profit =
∴Profit per cent =
Profit and Loss, BU
100 – 15 = 85 15 85
x 100
=
300 / 17
=
17
11 17
%
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3. What is the loss percent if a man loses Rs.10 on selling and article for Rs.100? Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Cost price = selling price + loss Answer with Explanation: Step : 1 Cost price = selling price + loss = 100 + 10 = 110 Step : 2 Loss per cent
=
10 110
= =9
Profit and Loss, BU
x 100 100 11
1 11
%
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4. A shopkeeper sold an article for Rs.2564.36. Approximately what was his profit percent if the cost price of the article was Rs.2400? Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price + Profit = selling price Answer with Explanation: Cost price is 2400 Profit is X% ie. 2400 + 2400 x 1/100 x X = 2564.36 2400 + 24x = 2564.36 24x X
= 2564.36 – 2400 = 164.36 / 24 =
6.848
Approximately 7 %
Profit and Loss, BU
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5. A man sold an article for Rs.247.50, thereby gaining 12 ½% . The cost of the article was. Rs.220 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price + Profit = Selling price Answer with Explanation: Let us assume cost price is x X + X x 25/2 x 1/100 = 247.50 X + 25x/200 = 247.50 (taking LCM) 200x + 25x = 247.50 x 200 225x = 49500 X = 49500 / 225 X = 220
∴The cost price is Rs. 220/-
Profit and Loss, BU
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6. A retailer buys a radio for Rs.225. His overhead expenses are Rs.15 he sells the radio for Rs.300. The profit percent of the retailer is ……….Ans25 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price + profit = selling price Answer with Explanation: Cost price = 225 + 15 = 240 Ie., 240 + X x 240 x 1/100 = 300 240 +
24 x 10
= 300 (taking LCM)
2400 + 24x = 3000 24x = 3000 – 2400 24x = 600 X = 600/24 X = 25.
Profit and Loss, BU
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7. A shopkeeper bought an article for Rs.319.60. Approximately at what price should he sell the article to make 25% profit ans Rs.400 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Assume cost = 100 Profit = 25 / 125 100 ⇒ 125 319.60 = ? ⇒
319 .60 x125 100
⇒ 399.5 ⇒ 400 approximately.
Profit and Loss, BU
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8. If the selling price of an article is 4/3 times its cost price, the profit percent is ans…. 33 1/3 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Answer with Explanation: Cost price = selling price – profit Let cost price is x and selling price is 4/3 x Ie., profit = selling price – cost price =
4 x 3
-x
= x/3 Profit % =
profit x100 cos tprice
x 3
= =
100 3
x
= 33
Profit and Loss, BU
=
x 3 x
100 x 1 3
%
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9. There would be 10% loss if a to is sold at RS.10.80 per piece. At what price should it be sold to earn a profit of 20% ans…Rs.14.40 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Step : 1 Assume cost = 100
Assume cost = 100
Loss = 10 / 90
profit
= 20 = 120 = ?
90 ⇒ 10.80 120 = ? 120 x10 .80 90
= 14.40
Profit and Loss, BU
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10.By selling an article for Rs.19.50 a dealer makes a profit of 30% by how much should he increase his selling price so as to make a profit of 40% an ….Rs.1.50 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Step : 1 Assume cost = 100
Assume cost = 100
Profit =30 = 130
profit
= 40 = 140 = ?
130 = 19.5 140 = ?
⇒
140 x19 .5 130
= 21
Ie. Selling price = 21 – 19.5 =
Profit and Loss, BU
Rs. 1.5
Page 10
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11.Rahim buys mangoes at the rate of 3kg for Rs.21 and sells them at 5kg for Rs.50. To earn Rs.102 as profit, he must sell. Ans 34kg Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Cost : 3 kg Mangoes Rs. 21 ⇒ 1 kg = Rs. 7
Selling Cost: 5 kg = 50 ⇒ 1 kg = 10 Difference for 1 kg is (10-7) = 3 1 kg = Rs.3 ? = Rs.102 102 / 3 = 34 kg
Profit and Loss, BU
Page 11
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12.If books bought at prices ranging from Rs.200 to Rs.350 are sold at prices ranging from Rs.300 to Rs.425, what is the greatest possible profit that might be made in selling eight books ? ans Rs.1800 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: profit = selling price – cost price
Answer with Explanation: Let us consider all the eight books are bought at least cost 200 x 8 = 1600 Selling at the highest price 425 x 8 = 3400
∴Profit = selling price – cost price
=
3400 - 1600 = 1800
Profit and Loss, BU
Page 12
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13.The cost price of 20 articles is the same as selling price of 15 articles. The profit percent in the transaction is ans : 33 1/3 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: 20 −15 15 5 15
x 100
x 100
=
100/3
=
33 1/3 %
Profit and Loss, BU
Page 13
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14. A man sells 320 mangoes at the cost price of 400 mangoes. His gain
perecent is Ans, 25% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Gain percentage = profit / cost price x 100 Answer with Explanation: 400 – 320 = 80 80 320
x 100 = 25 %
Profit and Loss, BU
Page 14
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15.If the cost price of 12 tables is equal to the selling price of 16 tables, the loss percent is ans 25% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
cos tprice − sellingric e sellingpri ce
x 100
Result is +ve = we get a profit Result is –ve = we get a loss Answer with Explanation: 12 −16 x 100 16 −4 x 100 = -25% 16
= 25% loss.
Profit and Loss, BU
Page 15
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16.If the selling price of 18 articles is equal to the CP of 21 articles the loss or gain percent ans: 16 2/3 % loss Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
cos tprice − sellingric e sellingpri ce
x 100
Result is +ve = we get a profit Result is –ve = we get a loss Answer with Explanation: 21 −18 X 100 18 3 X 100 18
100 / 6 = 50/3 = 16 2/3 % profit
Profit and Loss, BU
Page 16
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17.If by selling 100 mangoes the CP of 120 mangoes is realized the gain percent is ans 6 1/11% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Let cost price of each Mango be Re.1 Cost price of 120 Mangoes is Rs. 120 Selling price of 100 Mangoes is rs. 100
Gain is = 20/100 x 100 =
20%
Profit and Loss, BU
Page 17
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18.By selling a pen for Rs.15, a man loses one sixteenth of what it costs him. The cost of the pen is Rs.16 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Let us assume cost price is x Ie., x – 15 = X – 15 -
1 16
x
x 16
x = 15 16 16 x − x = 15 16 15 x = 15 16 15 x16 X = 15
X-
X = 16
Profit and Loss, BU
Page 18
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19. By selling an article, sheetal earned a profit equal to 1/4th of the price
he bought it. If he sold it for Rs.375 what was the cost price ans RS.300 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Selling price = cost price + profit Answer with Explanation: Let us cost price is x 375 = x +
1 4
375 =
4x + x 4
375 =
5x 4
375 x 4 5
x
=x
X = 300 The cost price is Rs. 300
Profit and Loss, BU
Page 19
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20.A shopkeeper on selling a pen for Rs.10, loses 1/11 of what it costs him. His cost price is ans 11. Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Loss = Cost price – selling price Answer with Explanation: Given : Loss is 1 11
1 11
of Cost Price
CP = CP – 10
10 = CP 10 =
1 11
CP
11CP −1CP 11
⇒ 10 =
10 11
CP ⇒
10 x11 10
= CP
Cost Price = 11
Profit and Loss, BU
Page 20
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21.A fruit seller purchases oranges at the rate of 3 for Rs.5 and sells them at 2 for Rs.4. His profit in the transaction is ans 20% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
Page 21
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22.If I purchased 11 books for Rs.10 and sold all the books at the rate of 10 books for Rs.11, the profit percent is ans 21% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
Page 22
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23.A man bought a number of oranges at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should be sell them to make a profit of 20%? Answer: Rs.6 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
Page 23
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24.
A man buys eggs at 2 for Re.1 and an equal number at 3 for Rs.2 and sells the whole at 5 for Rs.3. His gain or loss per cent is ? Answer : 2 6/7% gain Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
Page 24
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25.Ajay bought 15 kg os dhal at the rate of Rs.14.50 per kg and 10kg at the rate of Rs.13 per kg. He mixed the two and sold the mixture at the rate of Rs.15 per kg. What was his total gain in this transaction? Answer :Rs. 27.50 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: 15 → 14.50 10 → 13 The difference rate is 15 (15 – 14.50) ⇒ 15 x 0.50 = 7.5 10 (15 – 13) ⇒ 10 x 2 = 20.0 Total = 27.5 Answer = Rs. 27.50
Profit and Loss, BU
Page 25
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By mixing two qualities of pulses in the ratio 2:3 and selling the mixture at the rate of Rs.22 per kg a shopkeeper makes a profit of 10%. If the cost of the smaller quantity be Rs.14 per kg, the cost per kg of the large quantity is ? Answer : Rs 24 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
Page 26
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26.Toffees are bought at the rate of 3 for a rupee. To gain 50% they must be sold at? Answer : 2 for a Rupee Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price + profit = Selling Price Answer with Explanation: Let 3 toffees cost price is Re.1 Ie. 1 toffee cost price is 1/3
Ie., 1/3 + 1/3 x 50% = x
1 3
+
1 3
x 50 x
1 3
+
1 6
=x
2 +1 6
X=
1 100
=x
=x
1 2
2 toffees for a rupee.
Profit and Loss, BU
Page 27
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The cost price of 12 article is same as selling price of 9 articles. Then find the Gain Percentage? Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Gain Percentage = Profit / cost price x 100 Answer with Explanation: 12 − 9 9
x 100
3/9 x 100 100/3 = 33 1/3
Profit and Loss, BU
Page 28
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Alfred buys an old scooter for Rs.4700 and spends Rs.800 on its repairs. If he sells the scooter for Rs.5800, his gain percent is ? Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Profit Percentage = Profit / cost price x 100 Answer with Explanation: Cost price
=
4700 +800 = 5500
Profit
=
5800 – 5500 = 300
Profit percentage = =
Profit and Loss, BU
300 / 5500 x 100 5.45%
Page 29
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27. When a plot is sold for Rs. 18,700, the owner loses 15%. At what
price must the plot be sold in order to gain 15%? Answer : Rs. 25,300 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Step : 1 Assume cost = 100 Loss = 15 = 85
Assume Cost = 100 gain =
15 = 115
Sold for Rs. 18,700 85 ⇒ 18700 85 = 18,700
115 = ?
To find : 115 = ? 85x = 115 x 18,700 X=
115 x18700 85
X= 25300
Profit and Loss, BU
Page 30
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If selling price is doubled, the profit triples. Find the profit percent Answer : 100 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
Page 31
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The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit? Answer : Rs. 2000 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
Page 32
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28.A man bought apples at the rate of 8 for Rs.34 and sold them at the rate of 12 for Rs.57. How many apples should be sold to earn a net profit of Rs. 45? Answer : 90 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: To find cost price per apple: 8 apples = Rs. 34 1 apple = Rs. 4.25 Selling price per apple: 12 apples = Rs. 57 1 apple = Rs. 4.75 Profit per apple = selling price – cost price 4.75 – 4.25 = .50 Therefore X x 0.50 = 45 X = Rs. 90
Profit and Loss, BU
Page 33
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29.A man bought some oranges at Rs.10 per dozen and bought the same number of oranges at Rs.8 per dozen. He sold these oranges at Rs.11 per dozen and gained Rs. 120. The total number of oranges bought by him was : Answer : 60 dozens Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Cost price : 1 dozen oranges = Rs. 10 1 dozen oranges = Rs. 8 2 dozen oranges
=
Rs. 18
1 dozen oranges
=
Rs. 9
Selling price: 1 dozen oranges = Rs. 11 Profit per dozen is Rs. 2 Therefore x dozen x profit = Rs. 120 x = 120/2 X = 60 dozen
Profit and Loss, BU
Page 34
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39. A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs.225 for it, the cost price of the bicycle for A is: Rs.110
Rs.120
Difficulty Level : Easy
Rs.125 Moderately easy
Rs.150 Difficult
Basic Formula:
Answer with Explanation: Selling price for 8 is Rs. 225 Cost price + profit = 225
X+
25 x 100
= 225
X = 180 Cost price of 8 is 180 Selling price of a is 180 Cost price + profit = 180 Y+
20 y 100
= 180
Y = 150 The cost price of A is Rs. 150/-
Profit and Loss, BU
Page 35
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40. If 5% more is gained by selling an article for Rs.350 than by selling it for Rs.340, the cost of the article is: Rs.50
Rs.160
Difficulty Level : Easy
Rs.200 Moderately easy
Rs.225 Difficult
Basic Formula: Cost price + profit = selling price X = Cost price Y = Profit Answer with Explanation: X+
xy 100
X+
x( y + 5) 100
= 340
⇒ 100x +xy = 34000
= 350 ⇒ 105x +xy = 35000 (-)
-5 x = - 1000 X = 200
Profit and Loss, BU
Page 36
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41. Hemant sold 10 sarees for a total profit of Rs.460 and 12 sarees for a total profit of Rs.144. At what profit per saree should he sell the remaining 20 sarees so that he gets an average profit of Rs.18 per saree? Rs.7.40
Rs.7.60
Difficulty Level : Easy
Rs.7.80
Moderately easy
Rs.8 Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
Page 37
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42. What is the selling price of a car? If the cost of the car is Rs. 60 and a profit of 10% over selling price is earned? Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price + profit = Selling Price Answer with Explanation: Cost price is Rs. 60 Profit is 10% of Cost Price 10 100
x 60 = 6
Selling Price = CP + Profit =
60 + 6 = 66
SP is Rs. 66
Profit and Loss, BU
Page 38
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43. The cost of an item is Rs. 12.60. If the profit is 10% over selling price what is the selling price? Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Cost price + profit = Selling Price Answer with Explanation: Cost Price = 12.60 Profit = 10% of CP =
10 100
x 12.60
=
126 100
= 1.26
Selling Price = CP + Profit =
12.60 + 1.26
=
13.86
Profit and Loss, BU
Page 39
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44. A man gains 10% by selling a certain article for a certain price. If he sells it at double the price, the profit made is : Answer : 120% Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
Page 40
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45. Kanaka owns aplot worth Rs.10,000. He sells it to Raman at 10% profit Raman sells the plot back to kanaka at a loss of 10%. In the whole transaction kanaka gets : Answer : Rs.1,100 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
Page 41
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46. Profit after selling a commodity for Rs. 425 is the same as the loss after selling it for Rs. 355. What is the cost of the commodity? Answer : 390 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula: Profit = Selling Price – Cost Price Answer with Explanation: Assume cost Price = x P = 425 –x P ⇒ 425 – x = 355 +x 425 – 355 = 2x 70 = 2x X = 35 P = 425 – 35 = 390
Profit and Loss, BU
Page 42
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47. An article when sold at a gain of 5% yields Rs.15 more than when sold at a loss of 5%. What is the cost price? Answer : Rs.150 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Let the cost price is x 5% gain ⇒ 5% loss = 105 100
x-
100 − 5 100
95 100
105 x − 95 x 100 10 x 100
X=
100 + 5 100
=
=
105 100
95 100
x = 15 = 15
= 15 1500 10
= 150
Profit and Loss, BU
Page 43
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48. A reduction of 25% in the price of eggs will enable one to buy 4 dozen more eggs for Rs.96. What is the price per dozen? Answer : Rs.8 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
Page 44
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49. If an article is sold at 5% gain instead of 5% loss, the seller gets Rs.6.72 more. The Cost Price of the article is : Answer : Rs.67.20 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation:
Profit and Loss, BU
Page 45
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50. Two-third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs.400, the value of the consignment (in rupees) was : Rs. 15,000 Difficulty Level : Easy
Moderately easy
Difficult
Basic Formula:
Answer with Explanation: Let the value of the consignment is Rs. X 2 3
1 3
x X 5% -
2x 3
5 100
x
2x 300
-
x X 2% = 400
x 3
x
2 100
= 400
10 x 300
-
8x 300
= 400 ⇒ 8x = 120000
= 400
X = 120000/8 = 15000
Profit and Loss, BU
Page 46
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