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:

On a certain item profit is 150%. If the cost price increases by 25% what will be the new profit margin (in %)?

A) 25 B) 50
C) 100 D) 75
 
Answer & Explanation Answer: C) 100

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Q:

The selling price of 6 bananas is equal to the cost price of 8 bananas. Then the percentage of profit is

A) 20 B) 33 1/3
C) 25 D) 30
 
Answer & Explanation Answer: B) 33 1/3

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3 1862
Q:

Selling price of a glass is Rs 1965 and loss percentage is 25%. If selling price is Rs 3013, then what will be the profit percentage?

A) 13 B) 10.4
C) 15 D) 20
 
Answer & Explanation Answer: C) 15

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6 1858
Q:

A trader had 9 quintals of wheat. He sold a part of it at 10% profit and the rest at 20% profit, so that he made a total profit of 14 %. How much wheat did he sell at 20% profit?

A) 540 kg B) 360 kg
C) 180 kg D) 720 kg
 
Answer & Explanation Answer: B) 360 kg

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1 1849
Q:

A trader had 22 quintals of wheat. He sold a part of it at 23% profit and the rest at 33% profit, so that he made a total profit of 27%. How much wheat did he sell at 33% profit?

A) 1320 kg B) 440 kg
C) 880 kg D) 1760 kg
 
Answer & Explanation Answer: C) 880 kg

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Q:

Mohit sells a table at a profit of 25%. If he reduces its selling price by Rs 240, then he suffers a loss of 5%. What was the initial selling price (in Rs) of the table?

A) 800 B) 1000
C) 1040 D) 1120
 
Answer & Explanation Answer: B) 1000

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Q:

In what ratio sugar at Rs 30/kg should be mixed with sugar at Rs 45/kg so that on selling the mixture at Rs 42/kg there is a profit of 20%?

A) 2 : 1 B) 2 : 3
C) 5 : 2 D) 3 : 7
 
Answer & Explanation Answer: A) 2 : 1

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Q:

A trader had 16 quintals of wheat. He sold a part of it at 17% profit and the rest at 27% profit, so that he made a total profit of 21%. How much wheat did he sell at 27% profit?

A) 960 kg B) 640 kg
C) 320 kg D) 1280 kg
 
Answer & Explanation Answer: B) 640 kg

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