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:

A shopkeeper, sold almonds at the rate Rs 1250 per kg and bears a loss of 7%. Now if he decides to sell it at Rs 1375 per kg, what will be the result?

A) 4.6 percent gain B) 2.3 percent loss
C) 2.3 percent gain D) 4.6 percent loss
 
Answer & Explanation Answer: C) 2.3 percent gain

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1 2033
Q:

By selling a used phone for Rs.7260 Sanjan got 34% less than what it cost him to buy it a few years ago.At what price should Sanjan have sold the phone to gain a profit of 5%?

A) ₹ 11,460 B) ₹ 11,480
C) ₹ 11,440 D) None
 
Answer & Explanation Answer: D) None

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2 2024
Q:

The cost price of 60 articles is same as the selling price of x articles. If there is a profit of 20%, then what is the value of x?

A) 15 B) 30
C) 50 D) 80
 
Answer & Explanation Answer: C) 50

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10 2021
Q:

A man gains 15% by selling a calculator for a certain price. If he sells it at the triple the price, then what will be the profit percentage?

A) 125 B) 175
C) 225 D) 245
 
Answer & Explanation Answer: D) 245

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5 2012
Q:

A vendor buys bananas at 9 for Rs 8 and sells at 8 for Rs 9. What will be the profit or loss (in %)?

A) 13.28% profit B) 26.56% loss
C) 26.56% profit D) 13.28% loss
 
Answer & Explanation Answer: C) 26.56% profit

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3 2007
Q:

A wholesaler sells a watch to a retailer at a profit of 8% and the retailer sells it to a customer at a profit of 12%. If the customer pays Rs. 8,448 what had it cost (approximately) to the wholesaler (in Rs)?

A) 6984 B) 6082
C) 7120 D) 7022
 
Answer & Explanation Answer: A) 6984

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4 2006
Q:

Raheem sells a machine for Rs 48 lakhs at a loss. Had he sold it for Rs 60 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine.

A) Rs 58 lakhs B) Rs 69.6 lakhs
C) Rs 42 lakhs D) Rs 50 lakhs
 
Answer & Explanation Answer: D) Rs 50 lakhs

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3 2000
Q:

At a village trade fair a man buys a horse and a camel together for Rs 51,250. He sold the horse at a profit of 25 % and the camel at a loss of 20 %. If he sold both the animals at the same price, then the cost price of the cheaper animal was Rs ____________.

A) 6600 B) 7500
C) 25000 D) 20000
 
Answer & Explanation Answer: D) 20000

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4 1994