Post on 07-Mar-2015
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
Profit and Loss, BU Page 1 www.aptitudecoach.com
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 %
Profit and Loss, BU Page 2 www.aptitudecoach.com
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 %
Profit and Loss, BU Page 3 www.aptitudecoach.com
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 %
Profit and Loss, BU Page 4 www.aptitudecoach.com
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 Page 5 www.aptitudecoach.com
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.
Profit and Loss, BU Page 6 www.aptitudecoach.com
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.
Profit and Loss, BU Page 7 www.aptitudecoach.com
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 %
Profit and Loss, BU Page 8 www.aptitudecoach.com
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
Profit and Loss, BU Page 9 www.aptitudecoach.com
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
Profit and Loss, BU Page 10 www.aptitudecoach.com
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 www.aptitudecoach.com
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 www.aptitudecoach.com
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 %
Profit and Loss, BU Page 13 www.aptitudecoach.com
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 %
Profit and Loss, BU Page 14 www.aptitudecoach.com
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.
Profit and Loss, BU Page 15 www.aptitudecoach.com
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
Profit and Loss, BU Page 16 www.aptitudecoach.com
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 www.aptitudecoach.com
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
Profit and Loss, BU Page 18 www.aptitudecoach.com
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
Profit and Loss, BU Page 19 www.aptitudecoach.com
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
Profit and Loss, BU Page 20 www.aptitudecoach.com
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 www.aptitudecoach.com
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 www.aptitudecoach.com
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 www.aptitudecoach.com
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 www.aptitudecoach.com
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
Profit and Loss, BU Page 25 www.aptitudecoach.com
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 www.aptitudecoach.com
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.
Profit and Loss, BU Page 27 www.aptitudecoach.com
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
Profit and Loss, BU Page 28 www.aptitudecoach.com
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%
Profit and Loss, BU Page 29 www.aptitudecoach.com
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 Assume Cost = 100Loss = 15 = 85 gain = 15 = 115
Sold for Rs. 18,700
85 1870085 = 18,700 115 = ?
To find : 115 = ?
85x = 115 x 18,700
X =
X= 25300
Profit and Loss, BU Page 30 www.aptitudecoach.com
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 www.aptitudecoach.com
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 www.aptitudecoach.com
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 www.aptitudecoach.com
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. 101 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 = 120/2X = 60 dozen
Profit and Loss, BU Page 34 www.aptitudecoach.com
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/-
Profit and Loss, BU Page 35 www.aptitudecoach.com
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
Profit and Loss, BU Page 36 www.aptitudecoach.com
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:
Profit and Loss, BU Page 37 www.aptitudecoach.com
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
Profit and Loss, BU Page 38 www.aptitudecoach.com
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
Profit and Loss, BU Page 39 www.aptitudecoach.com
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 www.aptitudecoach.com
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 www.aptitudecoach.com
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 www.aptitudecoach.com
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
Profit and Loss, BU Page 43 www.aptitudecoach.com
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 www.aptitudecoach.com
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 www.aptitudecoach.com
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
x X 5% - x X 2% = 400
x - x = 400
- = 400
= 400 8x = 120000
X = 120000/8 = 15000
Profit and Loss, BU Page 46 www.aptitudecoach.com