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 = A 3B = 2 C C = B = ( A) C = A 3C = 2 D D = C = ( A ) Profit and Loss, BU Page 1 www.aptitudecoach.com
Transcript
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 = A
3B = 2 C C = B
= ( A)
C = A
3C = 2 D D = C
= ( A )
D = A
D = 54 54 = A
A = 16
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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
= 100 – 15 = 85
Profit per cent = x 100
= 300 / 17
= 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 : 1Cost price = selling price + loss
= 100 + 10 = 110
Step : 2
Loss per cent = x 100
=
= 9 %
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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 = 2564.36 – 2400
X = 164.36 / 24
= 6.848
Approximately 7 %
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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/-
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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 + = 300
(taking LCM)
2400 + 24x = 3000
24x = 3000 – 2400
24x = 600
X = 600/24
X = 25.
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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 = ?
399.5
400 approximately.
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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
= - x
= x/3
Profit % = =
= x
= = 33 %
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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 10.80120 = ?
= 14.40
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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 = ?
= 21
Ie. Selling price = 21 – 19.5
= 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
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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
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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:
x 100
x 100 = 100/3
= 33 1/3 %
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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
x 100 = 25 %
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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:
x 100
Result is +ve = we get a profitResult is –ve = we get a loss
Answer with Explanation:
x 100
x 100 = -25%
= 25% loss.
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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:
x 100
Result is +ve = we get a profitResult is –ve = we get a loss
Answer with Explanation:
X 100
X 100
100 / 6 = 50/3= 16 2/3 % profit
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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%
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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
X – 15 -
X - = 15
= 15
= 15
X =
X = 16
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19. By selling an article, sheetal earned a profit equal to 1/4 th 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 + x
375 =
375 =
= x
X = 300
The cost price is Rs. 300
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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 of Cost Price
CP = CP – 10
10 = CP - CP
10 = 10 = CP = CP
Cost Price = 11
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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:
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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:
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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:
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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:
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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 14.5010 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
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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:
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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
+ x 50 x = x
+ = x
= x
X =
2 toffees for a rupee.
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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:
x 100
3/9 x 100100/3= 33 1/3
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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 = 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
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:
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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:
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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
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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
Therefore x dozen x profit = Rs. 120 x = 120/2X = 60 dozen
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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 Rs.125 Rs.150
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Answer with Explanation:
Selling price for 8 is Rs. 225
Cost price + profit = 225
X + = 225
X = 180
Cost price of 8 is 180
Selling price of a is 180
Cost price + profit = 180
Y + = 180
Y = 150
The cost price of A is Rs. 150/-
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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 Rs.200 Rs.225
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Cost price + profit = selling price
X = Cost priceY = Profit
Answer with Explanation:
X + = 340 100x +xy = 34000
X + = 350 105x +xy = 35000 (-)
-5 x = - 1000
X = 200
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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 Rs.7.80 Rs.8
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Answer with Explanation:
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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
x 60 = 6
Selling Price = CP + Profit
= 60 + 6 = 66
SP is Rs. 66
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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
= x 12.60
= = 1.26
Selling Price = CP + Profit
= 12.60 + 1.26
= 13.86
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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:
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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:
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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
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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 = =
x - x = 15
= 15
= 15
X = = 150
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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:
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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:
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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
