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:

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:

An article is listed at Rs 2375. A man purchases it at two successive discounts of 50% and 25% and spends Rs 165 on repairing of article. If he sells thearticle at a profit of 62.5%, then what is the selling price (in Rs) of the article?

A) 1467.6 B) 1492.6
C) 1715.39 D) 1467.6
 
Answer & Explanation Answer: C) 1715.39

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3 2525
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:

A vendor buys oranges at the rate of 5 for Rs 6 and sells at the rate of 2 for Rs 3. What will be the result?

A) 25 percent loss B) 25 percent gain
C) 20 percent gain D) 20 percent loss
 
Answer & Explanation Answer: B) 25 percent gain

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Q:

A dishonest shopkeeper uses a weight of 850 gm instead of 1 kg and sells rice on its cost price. What will be his profit percentage on selling 5 kg rice?

A) 18.24 B) 17.65
C) 15 D) 13.04
 
Answer & Explanation Answer: B) 17.65

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0 2503
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:

In what ratio sugar at Rs 30/kg should be mixed with sugar at Rs 45/kg so that on selling the mixture at Rs 42/kg there is a profit of 20%?

A) 2 : 1 B) 2 : 3
C) 5 : 2 D) 3 : 7
 
Answer & Explanation Answer: A) 2 : 1

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