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:

If the profit is 20%, then what will be the ratio of cost price to selling price respectively?

A) 4 : 5 B) 5 : 6
C) 2 : 5 D) 3 : 4
 
Answer & Explanation Answer: B) 5 : 6

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Q:

If Rajan purchase 21 pens for Rs 20 and sell all the pens at the rate of 20 pens for Rs 21, then what will be the profit percentage?

A) 12.5 B) 13.33
C) 10.25 D) 16.66
 
Answer & Explanation Answer: C) 10.25

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Q:

Raghuram sells a machine for Rs 43 lakhs at a loss. Had he sold it for Rs 53 lakh, his gain would have been 7 times the former loss. Find the cost price of the machine.

A) Rs 51.75 lakhs B) Rs 59.14 lakhs
C) Rs 36.75 lakhs D) Rs 44.25 lakhs
 
Answer & Explanation Answer: D) Rs 44.25 lakhs

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Q:

When a discount of 25% is given on a box of popcorn, the profit is 25%. If the discount is 10%, then the profit is

A) 35 percent B) 50 percent
C) 20 percent D) 65 percent
 
Answer & Explanation Answer: B) 50 percent

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Q:

A product was sold foe Rs. 4,500 at a profit of 12.5%. What was the amount of profit?

A) Rs. 125 B) Rs. 250
C) Rs. 500 D) Rs. 300
 
Answer & Explanation Answer: C) Rs. 500

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Q:

Mohan earns a profit of 20% on selling a jean at 15% discount on printed price. The ratio of the cost price to printed price of the jean is

A) 17:24 B) 17:34
C) 16:13 D) 21:23
 
Answer & Explanation Answer: A) 17:24

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Q:

U starts a business by investing Rs 45000 and V join him after one year with an amount of Rs 33000. After two years from the starting of business, they earned profit of Rs 16400. What will be the U’s share (in Rs) in the profit?

A) 11200 B) 9600
C) 10000 D) 12000
 
Answer & Explanation Answer: D) 12000

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Q:

The line passing through point (-3,1) and point (x,5) is parallel to the line passing through point (-2,-1) and point (6,3). What is the value of x?

A) -5 B) -2
C) 2 D) 5
 
Answer & Explanation Answer: D) 5

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