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 dried apricots at the rate Rs 1,310 a kg and bears a loss of 13%. Now if he decides to sell it at Rs 1,441 per kg, what will be the result?

A) 8.6 percent loss B) 4.3 percent gain
C) 4.3 percent loss D) 8.6 percent gain
 
Answer & Explanation Answer: C) 4.3 percent loss

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Q:

Mahesh buys a watch of Rs 300 and sells it. Mahesh gives two successive discount of 15% and 6% to the buyer. What will be the selling price (in Rs) ofthe watch?

A) 213.4 B) 242.3
C) 239.7 D) 247.4
 
Answer & Explanation Answer: C) 239.7

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Q:

By selling an item for Rs. 696 Unnati incurred a loss of 13%. By how much should she have raised the price to gain a profit of 10%?

A) Rs. 160.08 B) Rs. 104
C) Rs. 84 D) Rs. 184
 
Answer & Explanation Answer: D) Rs. 184

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Q:

The difference between cost price and selling price is Rs 12.54. If loss percentage is 33%, then what is the cost price (in Rs)?

A) 35.44 B) 50.54
C) 41 D) 38
 
Answer & Explanation Answer: D) 38

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Q:

The difference between cost price and selling price is Rs 494. If loss percentage is 19%, then what is the selling price (in Rs)?

A) 2106 B) 2600
C) 3094 D) 2208
 
Answer & Explanation Answer: A) 2106

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Q:

Mr. Kapur purchased two toy cycles for Rs 750 each. He sold these cycles, gaining 6% on one and losing 4% on the other. The gain or loss percent in the whole transaction is

A) 1% loss B) 1% gain
C) 1.5% loss D) 1.5 gain
 
Answer & Explanation Answer: B) 1% gain

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Q:

On selling 25 shirts, a retailer earns profit equal to the cost price of 8 shirts. What is the profit percentage?

A) 47.05 B) 32
C) 25 D) 34.5
 
Answer & Explanation Answer: B) 32

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Q:

A shopkeeper by selling 22 Skechers shoes, earns a profit equal to the selling price of 6 Skechers shoes. His profit percentage is:

A) 27.2 percent B) 37.5 percent
C) 54.4 percent D) 16.9 percent
 
Answer & Explanation Answer: B) 37.5 percent

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