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:

The marked price of a pencil is 35% more than its cost price. What maximum discount percentage can be offered by the shopkeeper to sell his pencil at no profit or no loss?

 

 

A) 34.24   B) 44.44  
C) 25.92   D) 18.18
 
Answer & Explanation Answer: C) 25.92  

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Q:

The difference between the selling prices of an article sold at 4% and 3% profits is Rs.3 The cost price of the article is :

A) Rs. 400 B) Rs. 350
C) Rs. 300 D) Rs. 100
 
Answer & Explanation Answer: C) Rs. 300

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Q:

A shopkeeper, sold walnuts at the rate Rs 1,190 a kg and bears a loss of 10%. Now if he decides to sell it at Rs 1,249.5 per kg, what will be the result?

A) 11 percent loss B) 5.5 percent loss
C) 5.5 percent gain D) 11 percent gain
 
Answer & Explanation Answer: B) 5.5 percent loss

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Q:

A shopkeeper buys a product of Rs 150 per Kg. 15% of product was damaged. At what price (per Kg) should he sell the remaining so as to earn a profit of 20%?

A) Rs. 207 B) Rs. 207 11/180
C) Rs. 211 13/17 D) Rs. 204 7/13
 
Answer & Explanation Answer: C) Rs. 211 13/17

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Q:

A person sells wheat at a profit of 30%. If he reduces its selling price by Rs 60, then he suffers a loss of 10%. What was the initial selling price (in Rs)of the wheat?

 

A) 195 B) 210
C) 180 D) 130
 
Answer & Explanation Answer: A) 195

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Q:

The ratio of the cost price and selling price of a bulb is 15 : 18. What is the profit percentage?

A) 16.66 B) 14.28
C) 20 D) 22
 
Answer & Explanation Answer: C) 20

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Q:

A shopkeeper offers 2.5% discount on cash purchases . What cash amount would Rohit pay for a cycle , the marked price of which is Rs.3600 ?

A) Rs. 3490 B) Rs. 3500
C) Rs. 3510 D) Rs. 3520
 
Answer & Explanation Answer: C) Rs. 3510

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Q:

Profit of Rs 728000 has to be divided among three partners Amir, Balaraj and Charan in the ratio 7:5:4. How much share (in Rs) does Charan get?

A) 227500 B) 318500
C) 91000 D) 182000
 
Answer & Explanation Answer: D) 182000

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