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 Profit and Loss Questions

Popular Latest Rated Important Formulae

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 selling 25 shirts, a retailer earns profit equal to the cost price of 8 shirts. What is the profit percentage?

A) 47.05 B) 32
C) 25 D) 34.5
 
Answer & Explanation Answer: B) 32

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Q:

A merchant marks the price of his articles 30% above the cost price. He gives some discount on it and earns a profit of 13.75%. What is the discount percentage?

A) 12.5 B) 13.75
C) 16.25 D) 10.25
 
Answer & Explanation Answer: A) 12.5

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Q:

A shopkeeper by selling 9 Rolex watches, earns a profit equal to the selling price of 4 Rolex watches. His profit percentage is

A) 44.4 percent B) 88.8 percent
C) 80 percent D) 8.8 percent
 
Answer & Explanation Answer: C) 80 percent

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Q:

The shopkeepers announce the same price of Rs. 700 for a sewing machine. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The difference in their selling price is

A) Rs. 9.8 B) Rs. 16.8
C) Rs. 22.4 D) Rs. 36.4
 
Answer & Explanation Answer: A) Rs. 9.8

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Q:

The difference between cost price and selling price is Rs 12.54. If loss percentage is 33%, then what is the cost price (in Rs)?

A) 35.44 B) 50.54
C) 41 D) 38
 
Answer & Explanation Answer: D) 38

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Q:

The marked price of a trouser is twice of the cost price. To earn 36% profit, what should be the value of discount (in percentage)?

 

A)  33 B)  32
C)  34 D)  36
 
Answer & Explanation Answer: B)  32

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Q:

A and B invest Rs. 3000 and Rs. 2400 respectively in a business. If after one year there is a loss of Rs. 720, how much loss will B bear? (Loss or Profit is in proportion to their investments)

A) Rs. 72 B) Rs. 320
C) Rs..400 D) Rs. 360
 
Answer & Explanation Answer: B) Rs. 320

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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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