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:

Karan purchased one dozen pens for Rs. 120 and sold a pack of 3 pens for Rs.35 each. What is his gain?

A) 16.67% B) 20%
C) 15% D) 33.33%
 
Answer & Explanation Answer: A) 16.67%

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3 308
Q:

The ratio of the cost price and selling price of a shirt is 32 : 37. What is the profit percentage?

 

A) 15.63 B)  13.51
C) 17.21 D) 14.44
 
Answer & Explanation Answer: A) 15.63

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4 2018
Q:

A shopkeeper allows a discount of 20% to his customers and still gains 25%. Find the Marked price of an article which costs Rs.600 to the shopkeeper.

A) Rs.937.50 B) Rs.937
C) Rs.930 D) Rs.1000
 
Answer & Explanation Answer: A) Rs.937.50

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4 251
Q:

Surbhi invested Rs.6000 for 5 months and Urba invested Rs.5000 for 6 months in a venture. The ratio in which they will share the profits is

A) 36:25 B) 6:5
C) 5:6 D) 1:1
 
Answer & Explanation Answer: D) 1:1

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3 174
Q:

The marked price of a trouser is twice of the cost price. To earn 36% profit, what should be the value of discount (in percentage)?

 

A)  33 B)  32
C)  34 D)  36
 
Answer & Explanation Answer: B)  32

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1 211
Q:

If selling price of 39 articles is equal to the cost price of 42 articles, then what will be the profit percentage?

 

A) 8.33 B) 7.69
C)  9.09 D) 11.33
 
Answer & Explanation Answer: B) 7.69

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1 261
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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1 358
Q:

The marked price of a calculator is Rs 750. It is sold at a discount of 22%. If the cost price of the calculator is Rs 500, then what is the profit (in Rs)?

 

A) 85   B)  105  
C)  95   D) 115
 
Answer & Explanation Answer: A) 85  

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4 432