Profit and Loss Questions

FACTS  AND  FORMULAE  FOR  PROFIT  AND  LOSS  QUESTIONS

 

 

Selling Price (SP) : The price at which the shopkeeper sells the goods is called the selling price (SP) of the goods sold by the shopkeeper.

 

Profit : If the selling price of an article is more than its cost price, then the dealer (or shopkeeper) makes a profit (or gain)

i.e Profit = SP - CP;       SP > CP

 

Loss : If the selling price of an article is less than its cost price, then the dealer suffers a loss.

i.e loss = CP - SP;        CP > SP

 

IMPORTANT FORMULAE


1. Profit percentage = ProfitC.P×100

 

2. Loss percentage = LossC.P×100

 

3.S.P=100+Gain %100×C.P = 100-Loss%100×C.P

 

4. C.P=100100+Gain %×S.P = 100100-Loss %×S.P 

5. If an article is sold at a gain of say 35%, then SP = 135% of CP

6. If an article is sold at a loss of say 35%, then SP = 65% of CP

7. When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss given by :Loss % =Common Loss and Gain %10 2=x102

 

8. If a trader Professes to sell his goods at cost price, but uses false weihts, then 

Gain % =ErrorTrue Value - Error×100%

Q:

A trader sells wire and gains 60% on the cost price. What will be the profit % on selling price?

A) 33.33 B) 40
C) 60 D) 37.5
 
Answer & Explanation Answer: D) 37.5

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5 1925
Q:

On selling rice for Rs. 45 per kg, a shopkeeper bears loss of 20%. To earn a profit of 20%, the selling price should be

A) Rs. 67.50 B) Rs. 65
C) Rs. 70 D) Rs. 60
 
Answer & Explanation Answer: A) Rs. 67.50

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2 1921
Q:

A rice trader buys 20 quintals of rice for Rs 8,580. However, 22% rice is lost in transportation. At what rate should he sell to earn 20% profit?

A) Rs 278.8 per quintal B) Rs 514.8 per quintal
C) Rs 660 per quintal D) Rs 654.2 per quintal
 
Answer & Explanation Answer: C) Rs 660 per quintal

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3 1920
Q:

A man buys 3 type-I cakes and 6 type-II cakes for Rs. 900. He sells type-I cakes at a profit of 15% and type-II cakes at a loss of 10%. If his overall profit is Rs.30, the cost price (in Rs.) of a type-I and of a type-II cakes is

A) 100, 100 B) 160, 70
C) 180, 60 D) 120, 90
 
Answer & Explanation Answer: B) 160, 70

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2 1917
Q:

An article is listed at Rs 2375. A man purchases it at two successive discounts of 50% and 25% and spends Rs 165 on repairing of article. If he sells thearticle at a profit of 62.5%, then what is the selling price (in Rs) of the article?

A) 1467.6 B) 1492.6
C) 1715.39 D) 1467.6
 
Answer & Explanation Answer: C) 1715.39

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3 1916
Q:

A villager buys a goat and a sheep together for Rs 14,250. He sold the sheep at a profit of 10% and the goat at a loss of 20%. If he sold both the animals at the same price , then what was the cost price of the cheaper animal?

A) 8250 B) 6600
C) 7500 D) 6000
 
Answer & Explanation Answer: D) 6000

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4 1893
Q:

If a merchant offers a discount of 10% on the list price, then she makes a loss of 25%. What % profit or % loss will she make if she sells at a discount of 20% of the list price?

A) 5 percent profit B) 33.33 percent loss
C) 90 percent profit D) 20 percent profit
 
Answer & Explanation Answer: B) 33.33 percent loss

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1 1890
Q:

A trader had 2000 kgs of rice. He sold a part of it at 10% profit and the rest at 16% profit, so that he made a total profit of 14.2%. How much rice (in kg) did he sell at 10% profit?

A) 1400 B) 600
C) 800 D) 1000
 
Answer & Explanation Answer: B) 600

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4 1889