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:

Rajesh sells a machine for Rs 57 lakhs at a loss. Had he sold it for Rs 67 lakh, his gain would have been 7 times the former loss. Find the cost price of the machine.

A) Rs 58.25 lakhs B) Rs 65.75 lakhs
C) Rs 75.14 lakhs D) Rs 50.75 lakhs
 
Answer & Explanation Answer: A) Rs 58.25 lakhs

Explanation:
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Q:

A trader had 9 quintals of wheat. He sold a part of it at 10% profit and the rest at 20% profit, so that he made a total profit of 14 %. How much wheat did he sell at 20% profit?

A) 540 kg B) 360 kg
C) 180 kg D) 720 kg
 
Answer & Explanation Answer: B) 360 kg

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Q:

The selling price of 6 bananas is equal to the cost price of 8 bananas. Then the percentage of profit is

A) 20 B) 33 1/3
C) 25 D) 30
 
Answer & Explanation Answer: B) 33 1/3

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Q:

A trader had 2000 kgs of rice. He sold a part of it at 10% profit and the rest at 16% profit, so that he made a total profit of 14.2%. How much rice (in kg) did he sell at 10% profit?

A) 1400 B) 600
C) 800 D) 1000
 
Answer & Explanation Answer: B) 600

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Q:

The marked price of a chair is 40% more than its cost price. If the chair is sold for Rs 520 after a discount of Rs 40, then what will be the profit percentage?

A) 33 B) 40
C) 25 D) 30
 
Answer & Explanation Answer: D) 30

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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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Q:

The marked price of a chair is 40% more than its cost price. If the chair is sold for Rs 520 after a discount of Rs 40, then what will be the profit percentage?

A) 33 B) 40
C) 25 D) 30
 
Answer & Explanation Answer: D) 30

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Q:

Ravi sold a smartphone for Rs. 30,000. Had he offered a discount of 10% on the selling price(SP), he would have earned a profit of 35%. What is the cost price?

A) Rs. 20,000 B) Rs. 22,000
C) Rs. 24,000 D) Rs. 26,000
 
Answer & Explanation Answer: A) Rs. 20,000

Explanation:
30,000*90/100 = 27000
27,000 = CP*135*/100
CP = 20000
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