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:

If a wholesaler, sells a tin of coffee at Rs 528 he faces a loss of 12%. Now if he decides to sell it at Rs 636, what will be the profit (in %)?

A) 7 B) 5
C) 6 D) 4
 
Answer & Explanation Answer: C) 6

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Q:

The marked price of an article is 40% more than its cost price. If 15% discount is given on the marked price, then what will be the profit percentage?

A) 25 B) 15
C) 21 D) 19
 
Answer & Explanation Answer: D) 19

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Q:

A trader marks his goods in such a way that after allowing a discount of 10% he gains 15%. If an article costs him Rs. 720, his marked price is

A) Rs.920 B) Rs.900
C) Rs.820 D) Rs.950
 
Answer & Explanation Answer: A) Rs.920

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Q:

If a vendor sells a coconut at Rs 24 he makes 20% loss. If he sells at Rs 36 then what is his profit percentage?

A) 10 B) 20
C) 30 D) 40
 
Answer & Explanation Answer: B) 20

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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:

If a shop keeper marks his goods for a certain amount so as to get 25% gain after allowing a discount of 20%, then his marked price is

A) Rs.156.25 B) Rs.146.25
C) Rs.166.25 D) Rs.150.25
 
Answer & Explanation Answer: A) Rs.156.25

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Q:

A vendor buys pens at the rate of 4 for Rs 5 and sells at the rate of 4 for Rs 3. What will be the result?

A) 40 percent gain B) 66.6 percent loss
C) 66.66 percent gain D) 40 percent loss
 
Answer & Explanation Answer: D) 40 percent loss

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Q:

A wholesaler had 200 dozens of mangoes. He sold some of these mangoes at 20% profit and the rest at 10% profit, so that he made 13% profit on selling all the mangoes. How many mangoes (in dozens) did he sell at 20% profit?

A) 140 B) 60
C) 80 D) 120
 
Answer & Explanation Answer: B) 60

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