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:

Cost price of a calculator is Rs 495. If the profit percentage is 40%, then what is the value (in Rs) of profit?

A) 226 B) 198
C) 186 D) 218
 
Answer & Explanation Answer: B) 198

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3 1567
Q:

A shopkeeper purchased 510 eggs at the rate of Rs. 20 per dozen. 30 eggs were broken on the way. In order to make a gain of 20%, he must sell the remaining eggs at the rate of

A) Rs. 22.50 per dozen B) Rs. 25.50 per dozen
C) Rs. 26 per dozen D) Rs. 26.50 per dozen
 
Answer & Explanation Answer: B) Rs. 25.50 per dozen

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3 1563
Q:

A shopkeeper cheats to the extent of 11% while buying and selling fruits, by using tampered weights. His total gain in percentage is

A) 23.25 B) 23.21
C) 23.75 D) 23.5
 
Answer & Explanation Answer: B) 23.21

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1 1559
Q:

The marked price of an article is 10/7 of the cost price and the selling price of that article is 4/5 of the marked price. What is the profit percentage?

A) 17.24 B) 16.66
C) 14.28 D) 15.42
 
Answer & Explanation Answer: C) 14.28

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2 1540
Q:

A man bought 25 crates of oranges for Rs. 10,000. He lost 5 crates. In order to earn a total profit of 25% of the total cost, he would have to sell each of the remaining crates at

A) Rs.650 B) Rs. 625
C) Rs. 600 D) Rs. 575
 
Answer & Explanation Answer: B) Rs. 625

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2 1517
Q:

If a person has sold an article for Rs. 1300 and made a profit of 30%, find the cost price of the article.

A) Rs. 1000 B) Rs. 1200
C) Rs. 1250 D) Rs. 1100
 
Answer & Explanation Answer: A) Rs. 1000

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3 1515
Q:

If the rice is sold at Rs 56 per kg, there would be a 40% loss. To earn a profit of 20% what should be the price of rice (per kg)?

A) 112 B) 108
C) 116 D) 124
 
Answer & Explanation Answer: A) 112

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0 1509
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 1506