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:

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 1901
Q:

If a merchant offers a discount of 10% on the list price, then she makes a loss of 25%. What % profit or % loss will she make if she sells at a discount of 20% of the list price?

A) 5 percent profit B) 33.33 percent loss
C) 90 percent profit D) 20 percent profit
 
Answer & Explanation Answer: B) 33.33 percent loss

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1 1896
Q:

When a discount of 20% is given on a sweater, the profit is 28%. If the discount is 14%, then the profit is

A) 42 percent B) 46.4 percent
C) 33.2 percent D) 37.6 percent
 
Answer & Explanation Answer: D) 37.6 percent

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3 1894
Q:

Mohit buys an old bicycle for Rs 2700 and spends Rs 500 on its repairs. If he sells the bicycle for Rs 3520, then what is his profit percentage?

A) 10 B) 12.5
C) 15 D) 20
 
Answer & Explanation Answer: A) 10

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4 1893
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 1889
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 1888
Q:

A trader had 630 kgs of rice. He sold a part of it at 15% profit and the rest at 8% profit, so that he made a total profit of 12%. How much rice (in kgs) did he sell at 8% profit?

A) 270 B) 300
C) 280 D) 290
 
Answer & Explanation Answer: A) 270

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0 1885
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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3 1884