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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:

When a discount of 25% is given on a cruise trip, the profit is 41%. If the discount is 26%, then the profit is

A) 39.12 percent B) 67 percent
C) 94.88 percent D) 11.24 percent
 
Answer & Explanation Answer: A) 39.12 percent

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Q:

A shopkeeper purchased 10 boxes of pencils containing 10 pencils each at Rs. 100 per box and sold each pencil at a profit 12%. What is the total sale price?

A) Rs.1100 B) Rs.1120
C) Rs.1200 D) Rs.1210
 
Answer & Explanation Answer: B) Rs.1120

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3 2097
Q:

A vendor sells a coconut at Rs 24 and suffers 24% loss. If he wants to make 14% profit, then at what price (in Rs) should he sell?

A) 32 B) 30
C) 36 D) 28
 
Answer & Explanation Answer: C) 36

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Q:

On selling rice for Rs. 45 per kg, a shopkeeper bears loss of 20%. To earn a profit of 20%, the selling price should be

A) Rs. 67.50 B) Rs. 65
C) Rs. 70 D) Rs. 60
 
Answer & Explanation Answer: A) Rs. 67.50

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2 2094
Q:

Profit obtained on selling an article for Rs 540 is equal to the loss incurred on selling the article for Rs 370. If selling price is Rs. 910, then what is the profit percentage?

A) 25 B) 33
C) 50 D) 100
 
Answer & Explanation Answer: D) 100

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6 2092
Q:

By selling cloth at Rs. 9 per metre , a shopkeeper loses 10% . Find the rate at which it should be sold so as to earn profit of 15%

A) Rs.11.20 B) Rs.11.30
C) Rs.11.40 D) Rs.11.50
 
Answer & Explanation Answer: D) Rs.11.50

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0 2089
Q:

A rice trader buys 20 quintals of rice for Rs 8,580. However, 22% rice is lost in transportation. At what rate should he sell to earn 20% profit?

A) Rs 278.8 per quintal B) Rs 514.8 per quintal
C) Rs 660 per quintal D) Rs 654.2 per quintal
 
Answer & Explanation Answer: C) Rs 660 per quintal

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3 2089
Q:

A wholesaler sold a water purifier at a loss of 40%. If the selling price has been increased by Rs. 125, then wholesaler will get the profit of 10%. What was the cost price of the purifier?

A) Rs. 250 B) Rs. 225
C) Rs. 275 D) Rs. 300
 
Answer & Explanation Answer: B) Rs. 225

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5 2088