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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:

A dishonest milkman buys milk at Rs 30 per litre and adds 1/5 of water to it and sells the mixture at Rs 32 per litre. What will be his gain?

A) 33.33 percent B) 50 percent
C) 28 percent D) 25 percent
 
Answer & Explanation Answer: C) 28 percent

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Q:

A dealer sold an article at 6% loss. Had he sold it for Rs. 64 more, he would have made a profit of 10%. Then the cost of the article is

A) Rs.400 B) Rs.200
C) Rs.164 D) Rs.464
 
Answer & Explanation Answer: A) Rs.400

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Q:

A used two-wheeler dealer sells a scooter for Rs 46,000 and makes some loss. If he had sold it for Rs 58,000 his profit would have been double his loss. What was the cost price (in Rs) of the scooter?

A) 52000 B) 54000
C) 48000 D) 50000
 
Answer & Explanation Answer: D) 50000

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Q:

A man sells an article at 15% profit. If he had sold it for . 6 more, he would have gained 18%. The man bought the article for

A) 100 B) 150
C) 200 D) 250
 
Answer & Explanation Answer: C) 200

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Q:

12 copies of a book were sold for Rs. 1800 thereby gaining cost price of 3 copies. The cost price of a copy of the book is

A) Rs. 120 B) Rs. 150
C) Rs. 1200 D) Rs. 1500
 
Answer & Explanation Answer: A) Rs. 120

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Q:

Raj sells a machine for Rs 51 lakhs at a loss. Had he sold it for Rs 60 lakh, his gain would have been 8 times the earlier loss. What is the cost price of the machine?

A) Rs 59 lakhs B) Rs 52 lakhs
C) Rs 66.375 lakhs D) Rs 45 lakhs
 
Answer & Explanation Answer: B) Rs 52 lakhs

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Q:

If 70% of total articles are sold at a profit of 20% and remaining articles are sold at a loss of 20%, then what will be the overall profit percentage?

A) 8 B) 12
C) 16 D) 6
 
Answer & Explanation Answer: A) 8

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Q:

A vendor buys bananas at 7 for Rs 6 and sells at 6 for Rs 7. What will be the result?

A) 36.1% loss B) 26.5% profit
C) 36.1% profit D) 26.5% loss
 
Answer & Explanation Answer: C) 36.1% profit

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