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:

Raj purchased two laptops, first for Rs 42500 and the second for Rs 36200. He sold first laptop at a profit of 12% and the second laptop at a loss of 12%.What is the overall profit or loss?

A) Rs 756 profit B) Rs 756 loss
C) Rs 1512 profit D) Rs 1512 loss
 
Answer & Explanation Answer: A) Rs 756 profit

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2 2015
Q:

Puneet purchases 5 dozens of oranges at the rate of Rs 120 per dozen. He sold each one of them at the rate of Rs 11.5. What is the profit (inpercentage) of Puneet?

A) 18 B) 30
C) 12 D) 15
 
Answer & Explanation Answer: D) 15

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1 2003
Q:

A shopkeeper by selling 8 iphones, earns a profit equal to the selling price of 3 iphones. His profit percentage is

A) 60 percent B) 37.5 percent
C) 75 percent D) 15 percent
 
Answer & Explanation Answer: A) 60 percent

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0 2000
Q:

P bought an article for Rs. 1600 and sold it at a profit of 10%. What would have been the increase in the profit percent if it was sold for Rs. 1840?

A) 5% B) 10%
C) 12% D) 15%
 
Answer & Explanation Answer: A) 5%

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4 1998
Q:

Raghunandan sells a machine for Rs 45 lakhs at a loss. Had he sold it for Rs 55 lakh, his gain would have been 9 times the former loss. Find the cost price of the machine.

A) Rs 54 lakhs B) Rs 46 lakhs
C) Rs 60 lakhs D) Rs 38 lakhs
 
Answer & Explanation Answer: B) Rs 46 lakhs

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3 1996
Q:

A and B invest Rs. 3000 and Rs. 2400 respectively in a business. If after one year there is a loss of Rs. 720, how much loss will B bear? (Loss or Profit is in proportion to their investments)

A) Rs. 72 B) Rs. 320
C) Rs..400 D) Rs. 360
 
Answer & Explanation Answer: B) Rs. 320

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2 1994
Q:

A fan was sold for Rs. 3600 at a loss of 4%. What would be the gain or loss percent ifit was sold for Rs. 4200?

A) Gain 10% B) Gain 12%
C) Loss 12% D) Loss 10%
 
Answer & Explanation Answer: B) Gain 12%

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1 1994
Q:

A trader bought 10 kg of tea at Rs. 400 per kg. He sold half the quantity at 20% loss and remaining at 10% profit. What was his net profit or loss in percentage?

A) 5% loss B) 5% gain
C) 10% loss D) 10% gain
 
Answer & Explanation Answer: A) 5% loss

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3 1992