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:

Vikash purchased 5 bananas for Rs.4 and sold 4 bananas for Rs.5. Calculate his % profit?

A) 55.56% B) 53.25%
C) 45.50% D) 56.25%
 
Answer & Explanation Answer: D) 56.25%

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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 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:

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:

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:

Vinay professes to lose 4% on sugar and uses a weight of 620 gm instead of 1 kg. What is the total profit percentage?

 

A) 44.24   B) 34.14  
C) 35.41   D) 54.84
 
Answer & Explanation Answer: D) 54.84

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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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