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 Profit and Loss Questions

Popular Latest Rated Important Formulae

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:

Profit of Rs 104000 has to be divided among three partners Ashok, Bimla and Chirag in the ratio 6:4:3. How much does Chirag get?

A) 24000 B) 32000
C) 48000 D) 12000
 
Answer & Explanation Answer: A) 24000

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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:

The shopkeepers announce the same price of Rs. 700 for a sewing machine. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The difference in their selling price is

A) Rs. 9.8 B) Rs. 16.8
C) Rs. 22.4 D) Rs. 36.4
 
Answer & Explanation Answer: A) Rs. 9.8

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Q:

A shopkeeper by selling 9 Rolex watches, earns a profit equal to the selling price of 4 Rolex watches. His profit percentage is

A) 44.4 percent B) 88.8 percent
C) 80 percent D) 8.8 percent
 
Answer & Explanation Answer: C) 80 percent

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Q:

Yayati sold an item at a loss of 13%. If he had sold it for Rs. 49 more, he would have made a profit of 22%. What should be the selling price of the item to gain a profit of 30%?

A) Rs. 190 B) Rs. 187.75
C) Rs. 192.30 D) Rs. 182
 
Answer & Explanation Answer: D) Rs. 182

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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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Q:

A shopkeeper marks the price of his table 30% above the cost price. He allows his customers a discount of 12% on the marked price. What is the profit percentage?

 

A) 14.4 B) 18
C) 16.66 D) 12.5
 
Answer & Explanation Answer: A) 14.4

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Q:

A trader bought 10 kg of tea at Rs. 400 per kg. He sold half the quantity at 20% loss and remaining at 10% profit. What was his net profit or loss in percentage?

A) 5% loss B) 5% gain
C) 10% loss D) 10% gain
 
Answer & Explanation Answer: A) 5% loss

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