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 had 12 quintals of wheat. He sold a part of it at 13% profit and the rest at 23% profit, so that he made a total profit of 17 %. How much wheat did he sell at 23% profit?

A) 720 kg B) 240 kg
C) 480 kg D) 960 kg
 
Answer & Explanation Answer: C) 480 kg

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Q:

Raj purchased two laptops, first for Rs 42500 and the second for Rs 36200. He sold first laptop at a profit of 12% and the second laptop at a loss of 12%.What is the overall profit or loss?

A) Rs 756 profit B) Rs 756 loss
C) Rs 1512 profit D) Rs 1512 loss
 
Answer & Explanation Answer: A) Rs 756 profit

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Q:

A vendor buys some bananas at the rate of 2 for Re 1 and sells at the rate of 10 for Rs 7. What will be the result?

A) 40 percent loss B) 28.57 percent gain
C) 40 percent gain D) 28.5 percent loss
 
Answer & Explanation Answer: C) 40 percent gain

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Q:

A dishonest shopkeeper professes to sell goods at his cost price but uses a false weight of 950 gms, for each kilogram. His gain percentage is

A) 100/23% B) 100/19%
C) 100/17% D) 100/21%
 
Answer & Explanation Answer: B) 100/19%

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Q:

If 10% loss is made on selling price, then the rate of loss on the cost price will be

A) 11 1/9% B) 9 1/11%
C) 10% D) 11%
 
Answer & Explanation Answer: A) 11 1/9%

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Q:

The marked price is 10% higher than the cost price . A discount of 10% is given to the marked price . In this kind of sale the seller

A) bears no gain , no loss B) gains
C) loses 1% D) None of these
 
Answer & Explanation Answer: C) loses 1%

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Q:

Yayati sold an item at a loss of 13%. If he had sold it for Rs. 49 more, he would have made a profit of 22%. What should be the selling price of the item to gain a profit of 30%?

A) Rs. 190 B) Rs. 187.75
C) Rs. 192.30 D) Rs. 182
 
Answer & Explanation Answer: D) Rs. 182

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Q:

To dispose of the old stocks, a person sold a tea-set for Rs. 3420, which was 43% below the cost price. In order to make a profit of 10% the seller should have sold the set for Rs. ___ more.

A) Rs. 3180 B) Rs. 2580
C) Rs. 1812.60 D) Rs. 2664.42
 
Answer & Explanation Answer: A) Rs. 3180

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