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:

At a village trade fair a man buys a horse and a camel together for Rs 51,250. He sold the horse at a profit of 25 % and the camel at a loss of 20 %. If he sold both the animals at the same price, then the cost price of the cheaper animal was Rs ____________.

A) 6600 B) 7500
C) 25000 D) 20000
 
Answer & Explanation Answer: D) 20000

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Q:

Deepak found that he had made a loss of 10% while selling his smartphone. He also found that had he sold it for ` 50more, he would have made a profit of 5%. The initial loss was what percentage of the profit earned, had he sold the smartphone for a 5% profit ?

A) 100% B) 200%
C) 75% D) 85%
 
Answer & Explanation Answer: B) 200%

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2 3024
Q:

Two shirts are bought at the rate of Rs 400 each. Shopkeeper sells one at the profit of 150% and other at the loss of 150%. What will be the total profit or loss in the whole transaction?

A) Loss of Rs 50 B) No profit/loss
C) Profit of Rs 25 D) Loss of Rs 150
 
Answer & Explanation Answer: B) No profit/loss

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4 3016
Q:

A vendor buys chikoos at 15 for Rs 8 and then sells at 10 for Rs 6. What will be the result?

A) 12.5 percent loss B) 11.11 percent gain
C) 12.5 percent gain D) 11.1 percent loss
 
Answer & Explanation Answer: C) 12.5 percent gain

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4 3006
Q:

By selling a bag at Rs. 230, profit of 15% is made. The selling price of the bag, when it is sold at 20% profit would be

A) Rs.250 B) Rs.205
C) Rs.240 D) Rs.200
 
Answer & Explanation Answer: C) Rs.240

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3 3005
Q:

A wholesaler sells a watch to a retailer at a profit of 8% and the retailer sells it to a customer at a profit of 12%. If the customer pays Rs. 8,448 what had it cost (approximately) to the wholesaler (in Rs)?

A) 6984 B) 6082
C) 7120 D) 7022
 
Answer & Explanation Answer: A) 6984

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4 2983
Q:

A villager buys a goat and a sheep together for Rs 14,250. He sold the sheep at a profit of 10% and the goat at a loss of 20%. If he sold both the animals at the same price , then what was the cost price of the cheaper animal?

A) 8250 B) 6600
C) 7500 D) 6000
 
Answer & Explanation Answer: D) 6000

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4 2972
Q:

If the selling price of 40 articles is equal to the cost price of 50 articles, the loss or gain percent is

A) 25% gain B) 20% gain
C) 25% loss D) 20% loss
 
Answer & Explanation Answer: A) 25% gain

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