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 grocer had 1600 kgs of wheat. He sold a part of it at 20% profit and the rest at 12% profit, so that he made a total profit of 17%. How much wheat (in kg) did he sell at 20% profit?

A) 600 B) 1000
C) 800 D) 1200
 
Answer & Explanation Answer: B) 1000

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3 2028
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 2023
Q:

Selling price of a watch is Rs 966 and profit percentage is 15%. If selling price is Rs 798, then what will be the loss percentage?

A) 5 B) 8
C) 7.21 D) 6.26
 
Answer & Explanation Answer: A) 5

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1 2017
Q:

A wholesaler sells a good to a retailer at a profit of 5% and the retailer sells it to a customer at a profit of 10%. If the customer pays Rs. 2,000, what had it cost (in Rs) the wholesaler?

A) 1731.6 B) 3210.6
C) 1931.6 D) 2310.6
 
Answer & Explanation Answer: A) 1731.6

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2 2014
Q:

A miner sells a diamond to a trader at a profit of 40% and the trader sells it to a customer at a profit of 25%. If the customer pays Rs 56 lakhs to buy the diamond, what had it cost the miner (in Rs lakhs)?

A) 30 B) 28
C) 25 D) 32
 
Answer & Explanation Answer: D) 32

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3 2014
Q:

The ratio of selling price to the cost price is 13 : 17. What is the loss percentage?

A) 23.52 B) 27.74
C) 18.62 D) 19.45
 
Answer & Explanation Answer: A) 23.52

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1 2013
Q:

A vendor buys 6 bananas for Rs 25 and sells them at 3 for Rs 20. What is his profit percentage?

A) 50 B) 40
C) 60 D) 30
 
Answer & Explanation Answer: C) 60

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1 2009
Q:

The profit earned by a shopkeeper by selling a bucket at a gain of 8% is Rs 28 more than when he sells it at a loss of 8%. The cost price (in Rupees) of the bucket is

A) 170 B) 190
C) 175 D) 165
 
Answer & Explanation Answer: C) 175

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0 2002