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 by selling 13 Titan watches, earns a profit equal to the selling price of 3 Titan watches. His profit percentage is

A) 30 percent B) 23.0 percent
C) 46 percent D) 16 percent
 
Answer & Explanation Answer: A) 30 percent

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Q:

The ratio of the cost price and selling price of an article is 5 : 3. What is the loss percentage?

A) 40 B) 20
C) 66.66 D) 33.33
 
Answer & Explanation Answer: A) 40

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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:

Yaman sold an item at a loss of 10%. If he had sold it for Rs.57 more, he would have made a profit of 20%. What should be the selling price of the item to make a profit of 30%?

A) Rs.247 B) Rs.190
C) Rs.228 D) Rs.222.30
 
Answer & Explanation Answer: A) Rs.247

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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:

A sells vegetables at a profit of 35% and for weighing uses a weight which is 10% less than the article weight. What is total profit percentage?

 

A) 50 B) 35
C) 45 D) 55
 
Answer & Explanation Answer: A) 50

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Q:

Qamar gained 16% on the resale of a used stereo. If he purchased the item for Rs. 1500, how much did he sell it for?

A) Rs. 1740 B) Rs. 1660
C) Rs. 1600 D) Rs. 1820
 
Answer & Explanation Answer: A) Rs. 1740

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Q:

The selling price of an item inclusive of a 16% profit was Rs. 435. What would be the percentage loss if the item was sold for Rs. 330?

A) 13 B) 12
C) 12.5 D) 12.25
 
Answer & Explanation Answer: B) 12

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