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:

The selling price of an item inclusive of a 10% profit was Rs.440. What would be the percentage loss if the item was sold for Rs. 370?

A) 7.5 B) 8
C) 6.25 D) 8.4
 
Answer & Explanation Answer: A) 7.5

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Q:

A contractor has got two orders A and B. On one (A) he spends Rs. 25,000 and makes a bill of Rs. 30,500. On the other (B) he makes a bill keeping a profit of 20%. Which of the two orders is more profitable to him?

A) B B) A
C) A nor B D) None of the above
 
Answer & Explanation Answer: B) A

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Q:

A retailer gets a discount of 40% on the printed price of an article. The retailer sells it at the printed price. His gain percent is

A) 40 B) 55
C) 66 2/3 D) 75
 
Answer & Explanation Answer: C) 66 2/3

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Q:

Junko sold an item for Rs. 220 at a loss of 12%. By how much should she have raised the price to make a profit of 10% ?

A) Rs. 25 B) Rs. 48.40
C) Rs. 44 D) Rs. 55
 
Answer & Explanation Answer: D) Rs. 55

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Q:

If a person bought an item for Rs. 60 and sold it at a profit of 25%, the selling price of the item would be

A) Rs. 84 B) Rs. 72
C) Rs. 75 D) Rs. 80
 
Answer & Explanation Answer: C) Rs. 75

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Q:

A shopkeeper increases the price of an object by 40% and then sells it at 25% discount on the marked price. If the selling price of such an object be Rs. 2100, its cost price for the shopkeeper was ?

A) 3000 B) 1500
C) 1750 D) 2000
 
Answer & Explanation Answer: D) 2000

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Q:

A shopkeeper by selling 13 Titan watches, earns a profit equal to the selling price of 3 Titan watches. His profit percentage is

A) 30 percent B) 23.0 percent
C) 46 percent D) 16 percent
 
Answer & Explanation Answer: A) 30 percent

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Q:

A vendor buys 6 bananas for Rs 25 and sells them at 3 for Rs 20. What is his profit percentage?

A) 50 B) 40
C) 60 D) 30
 
Answer & Explanation Answer: C) 60

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