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:

In what ratio sugar at Rs 30/kg should be mixed with sugar at Rs 45/kg so that on selling the mixture at Rs 42/kg there is a profit of 20%?

A) 2 : 1 B) 2 : 3
C) 5 : 2 D) 3 : 7
 
Answer & Explanation Answer: A) 2 : 1

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1 1828
Q:

A trader had 6 quintals of wheat. He sold a part of it at 7% profit and the rest at 17% profit, so that he made a total profit of 11%. How much wheat did he sell at 17% profit?

A) 360 kg B) 240 kg
C) 120 kg D) 480 kg
 
Answer & Explanation Answer: B) 240 kg

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1 1821
Q:

A shopkeeper by selling 21 items earns a profit equal to the selling price of 1 item. What is his profit percentage?

A) 5.5 B) 2.2
C) 2 D) 5
 
Answer & Explanation Answer: D) 5

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4 1808
Q:

A trader marks his goods in such a way that after allowing a discount of 10% he gains 15%. If an article costs him Rs. 720, his marked price is

A) Rs.920 B) Rs.900
C) Rs.820 D) Rs.950
 
Answer & Explanation Answer: A) Rs.920

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5 1807
Q:

A wholesaler had 200 dozens of mangoes. He sold some of these mangoes at 20% profit and the rest at 10% profit, so that he made 13% profit on selling all the mangoes. How many mangoes (in dozens) did he sell at 20% profit?

A) 140 B) 60
C) 80 D) 120
 
Answer & Explanation Answer: B) 60

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0 1806
Q:

A vendor buys oranges at the rate of 5 for Rs 6 and sells at the rate of 2 for Rs 3. What will be the result?

A) 25 percent loss B) 25 percent gain
C) 20 percent gain D) 20 percent loss
 
Answer & Explanation Answer: B) 25 percent gain

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3 1799
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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5 1799
Q:

Cost price of an article is Rs 5800. If the loss percentage is 33%, then what is the selling price (in Rs) of the article?

A) 3886 B) 3424
C) 4420 D) 5168
 
Answer & Explanation Answer: A) 3886

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2 1791