PROFIT & LOSS · Download More Aptitude Questions,Reasoning questions,Puzzles PROFIT & LOSS 1. Cost of 3 cricket balls = cost of 2 pairs of leg pads cost of 3 pairs of leg pads =

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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 = 23

A

3B = 2 C ⇒ C =23

B

= 23

(23

A)

C =49

A

3C = 2 D ⇒ D =23

C

=23

(49

A )

D =827

A

D = 54 ⇒ 54 = 827

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%


Basic Formula:

Cost price = selling price - profit


Step : 1

Cost price = selling price - profit

= 100 – 15 = 85

∴ Profit per cent = 8515

x 100

= 300 / 17

= 17 1711

%




3. What is the loss percent if a man loses Rs.10 on selling and article for Rs.100?


Basic Formula:

Cost price = selling price + loss


Step : 1Cost price = selling price + loss

= 100 + 10 = 110

Step : 2

Loss per cent = 11010

x 100

=11

100

= 9 111

%




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?


Basic Formula:

Cost price + Profit = selling price


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 %




5. A man sold an article for Rs.247.50, thereby gaining 12 ½% . The cost of the article was. Rs.220


Basic Formula:

Cost price + Profit = Selling price


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/-




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


Basic Formula:

Cost price + profit = selling price


Cost price = 225 + 15 = 240

Ie., 240 + X x 240 x 1/100 = 300

240 + 1024x

= 300

(taking LCM)

2400 + 24x = 3000

24x = 3000 – 2400

24x = 600

X = 600/24

X = 25.




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


Basic Formula:


Assume cost = 100

Profit = 25 / 125

100 ⇒ 125

319.60 = ?

⇒ 100

12560.319 x

⇒ 399.5

⇒ 400 approximately.




8. If the selling price of an article is 4/3 times its cost price, the profit percent is ans…. 33 1/3


Basic Formula:


Cost price = selling price – profit

Let cost price is x and selling price is 4/3 x

Ie., profit = selling price – cost price

= x34

- x

= x/3

Profit % = 100cos

xtpriceprofit

= x

x3

=3x

x x

100

= 3

100 = 33

31

%




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


Basic Formula:

Answer with Explanation:Step : 1

Assume cost = 100 Assume cost = 100

Loss = 10 / 90 profit = 20 = 120 = ?

90 ⇒ 10.80120 = ?

9080.10120x

= 14.40




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


Basic Formula:

Answer with Explanation:Step : 1

Assume cost = 100 Assume cost = 100

Profit =30 = 130 profit = 40 = 140 = ?

130 = 19.5

140 = ?

⇒ 130

5.19140x = 21

Ie. Selling price = 21 – 19.5

= Rs. 1.5




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


Basic Formula:


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




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


Basic Formula:

profit = selling price – cost price


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




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


Basic Formula:


151520 −

x 100

155

x 100 = 100/3

= 33 1/3 %




14. A man sells 320 mangoes at the cost price of 400 mangoes. His gain perecent is Ans, 25%


Basic Formula:

Gain percentage = profit / cost price x 100


400 – 320 = 80

32080

x 100 = 25 %




15. If the cost price of 12 tables is equal to the selling price of 16 tables, the loss percent is ans 25%


Basic Formula:

cesellingpriesellingrictprice −cos

x 100

Result is +ve = we get a profitResult is –ve = we get a loss


161612 −

x 100

164−

x 100 = -25%

= 25% loss.




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


Basic Formula:

cesellingpriesellingrictprice −cos

x 100

Result is +ve = we get a profitResult is –ve = we get a loss


181821 −

X 100

183

X 100

100 / 6 = 50/3= 16 2/3 % profit




17. If by selling 100 mangoes the CP of 120 mangoes is realized the gain percent is ans 6 1/11%


Basic Formula:


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%




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


Basic Formula:


Let us assume cost price is x

Ie., x – 15 = 161

x

X – 15 - 16x

X - 16x

= 15

1616 xx −

= 15

1615x

= 15

X = 15

1615x

X = 16




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


Basic Formula:

Selling price = cost price + profit


Let us cost price is x

375 = x + 41

x

375 = 4

4 xx +

375 = 4

5x

54375x

= x

X = 300

The cost price is Rs. 300




20. A shopkeeper on selling a pen for Rs.10, loses 1/11 of what it costs him. His cost price is ans 11.


Basic Formula:

Loss = Cost price – selling price


Given : Loss is 111

of Cost Price

111

CP = CP – 10

10 = CP - 111

CP

10 = 11

111 CPCP − ⇒ 10 =

1110

CP ⇒ 10

1110x = CP

Cost Price = 11




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%


Basic Formula:





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%


Basic Formula:





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


Basic Formula:





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


Basic Formula:





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


Basic Formula:


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




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


Basic Formula:





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


Basic Formula:

Cost price + profit = Selling Price


Let 3 toffees cost price is Re.1

Ie. 1 toffee cost price is 1/3

Ie., 1/3 + 1/3 x 50% = x

31

+ 31

x 50 x 100

1 = x

31

+ 61

= x

612 +

= x

X = 21

2 toffees for a rupee.




The cost price of 12 article is same as selling price of 9 articles. Then find the Gain Percentage?


Basic Formula:

Gain Percentage = Profit / cost price x 100


9912 −

x 100

3/9 x 100100/3= 33 1/3




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 ?


Basic Formula:

Profit Percentage = Profit / cost price x 100


Cost price = 4700 +800 = 5500

Profit = 5800 – 5500 = 300

Profit percentage = 300 / 5500 x 100

= 5.45%




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


Basic Formula:


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 = 8518700115x

X= 25300




If selling price is doubled, the profit triples. Find the profit percent

Answer : 100


Basic Formula:





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


Basic Formula:





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


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




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


Basic Formula:

Answer with Explanation:Cost price :1 dozen oranges = Rs. 101 dozen oranges = Rs. 8

2 dozen oranges = Rs. 18


Selling price:


Profit per dozen is Rs. 2

Therefore x dozen x profit = Rs. 120 x = 120/2X = 60 dozen




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


Basic Formula:


Selling price for 8 is Rs. 225

Cost price + profit = 225

X + 10025x

= 225

X = 180

Cost price of 8 is 180

Selling price of a is 180

Cost price + profit = 180

Y + 10020y

= 180

Y = 150

The cost price of A is Rs. 150/-




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


Basic Formula:

Cost price + profit = selling price

X = Cost priceY = Profit


X + 100xy

= 340 ⇒ 100x +xy = 34000

X + 100

)5( +yx = 350 ⇒ 105x +xy = 35000 (-)

-5 x = - 1000

X = 200




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


Basic Formula:





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?


Basic Formula:



Cost price is Rs. 60

Profit is 10% of Cost Price

10010

x 60 = 6

Selling Price = CP + Profit

= 60 + 6 = 66

SP is Rs. 66




43. The cost of an item is Rs. 12.60. If the profit is 10% over selling price

what is the selling price?


Basic Formula:



Cost Price = 12.60

Profit = 10% of CP

=10010

x 12.60

=100126

= 1.26

Selling Price = CP + Profit

= 12.60 + 1.26

= 13.86




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%


Basic Formula:





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


Basic Formula:





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


Basic Formula:

Profit = Selling Price – Cost Price


Assume cost Price = x

P = 425 –x

P ⇒ 425 – x = 355 +x

425 – 355 = 2x

70 = 2x

X = 35

P = 425 – 35 = 390




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


Basic Formula:


Let the cost price is x

5% gain ⇒ 100

5100 + =

100105

5% loss = 100

5100 − =

10095

100105

x - 10095

x = 15

10095105 xx −

= 15

10010x

= 15

X = 10

1500 = 150




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


Basic Formula:





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


Basic Formula:





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


Basic Formula:


Let the value of the consignment is Rs. X

32

x X 5% - 31

x X 2% = 400

32x

x 100

5 -

3x

x 100

2 = 400

30010x

- 3002x

= 400

3008x

= 400 ⇒ 8x = 120000

X = 120000/8 = 15000


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PROFIT & LOSS · Download More Aptitude Questions,Reasoning questions,Puzzles PROFIT & LOSS 1. Cost of 3 cricket balls = cost of 2 pairs of leg pads cost of 3 pairs of leg pads =