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:

P bought an article for Rs. 1600 and sold it at a profit of 10%. What would have been the increase in the profit percent if it was sold for Rs. 1840?

A) 5% B) 10%
C) 12% D) 15%
 
Answer & Explanation Answer: A) 5%

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Q:

The ratio of selling price to the cost price is 13 : 17. What is the loss percentage?

A) 23.52 B) 27.74
C) 18.62 D) 19.45
 
Answer & Explanation Answer: A) 23.52

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Q:

A wholesaler sells a good to a retailer at a profit of 5% and the retailer sells it to a customer at a profit of 10%. If the customer pays Rs. 2,000, what had it cost (in Rs) the wholesaler?

A) 1731.6 B) 3210.6
C) 1931.6 D) 2310.6
 
Answer & Explanation Answer: A) 1731.6

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Q:

A vendor buys bananas at 12 for Rs 50 and sells at 5 for Rs 40. What will be the gain (in %)?

A) 82 B) 72
C) 92 D) 62
 
Answer & Explanation Answer: C) 92

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Q:

A shopkeeper by selling 5 items, earns a profit equal to the selling price of 1 item. What is his profit percentage?

A) 20% B) 25%
C) 16% D) 22.5%
 
Answer & Explanation Answer: B) 25%

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Q:

A wholesaler sells a jacket to a retailer at a profit of 5% and the retailer sells it to a customer at a profit of 10%. If the customer pays Rs. 4158, what had it cost (in Rs) to the wholesaler?

A) 3500 B) 3400
C) 3300 D) 3600
 
Answer & Explanation Answer: D) 3600

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Q:

A wholesaler sells a watch to a retailer at a profit of 33% and the retailer sells it to a customer at a loss of 20%. If the customer pays Rs 2,181.2, what had it cost the wholesaler?

A) Rs 2050 B) Rs 2320
C) Rs 2712 D) Rs 1780
 
Answer & Explanation Answer: A) Rs 2050

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Q:

On selling 30 caps, a shopkeeper earns profit equal to the selling price of 3 caps. What is the profit percentage?

A) 12.5 B) 11.11
C) 10 D) 14.28
 
Answer & Explanation Answer: B) 11.11

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