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:

If the loss of percent on article is 15%. Then the ratio of the cost price and sell price will be

A) 17:20 B) 20:17
C) 23:15 D) 15:23
 
Answer & Explanation Answer: B) 20:17

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Q:

R and S started a business by investing Rs 165000 and Rs 195000 respectively for the same period of time. If R’s share in the profit earned by them is Rs 11000, then what is the total profit (in Rs) earned by both of them together?

A) 22000 B) 40000
C) 26000 D) 24000
 
Answer & Explanation Answer: D) 24000

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Q:

Dipali bought a set of cups for Rs. 375, but then had to sell it later to clear old stocks for Rs. 345. What is the percentage of loss that she incurred?

A) 14 B) 7
C) 16 D) 8
 
Answer & Explanation Answer: D) 8

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Q:

Deepti bought a set of cups for Rs. 175, but then had to sell it later to clear old stocks for Rs. 161. What is the percentage of loss that she had to incur?

A) 16 B) 8
C) 7 D) 14
 
Answer & Explanation Answer: B) 8

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Q:

If 192 pens cost is Rs.10, how many pens can be bought for Rs.5?

A) 96 B) 72
C) 48 D) 56
 
Answer & Explanation Answer: A) 96

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Q:

If the selling price of an article is doubled, then its loss percentage gets converted into the equal profit percentage. What is the loss percentage?

 

A) 16.66   B) 50
C) 33.33   D) 37.5
 
Answer & Explanation Answer: C) 33.33  

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Q:

Raghavendra sells a machine for Rs 43 lakhs at a loss. Had he sold it for Rs 52 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine.

A) Rs 50.5 lakhs B) Rs 60.6 lakhs
C) Rs 44.5 lakhs D) Rs 38.5 lakhs
 
Answer & Explanation Answer: C) Rs 44.5 lakhs

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Q:

X and Y started a business by investing Rs 171000 and Rs 243000 respectively. If X’s share in the profit earned at the end of year is Rs 3800, then what will be the total profit (in Rs) earned by them together?

 

 

A) 9200   B) 9600  
C) 8400   D) 8800
 
Answer & Explanation Answer: A) 9200  

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