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 purchased 510 eggs at the rate of Rs. 20 per dozen. 30 eggs were broken on the way. In order to make a gain of 20%, he must sell the remaining eggs at the rate of

A) Rs. 22.50 per dozen B) Rs. 25.50 per dozen
C) Rs. 26 per dozen D) Rs. 26.50 per dozen
 
Answer & Explanation Answer: B) Rs. 25.50 per dozen

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Q:

A person sells wheat at a profit of 30%. If he reduces its selling price by Rs 60, then he suffers a loss of 10%. What was the initial selling price (in Rs)of the wheat?

 

A) 195 B) 210
C) 180 D) 130
 
Answer & Explanation Answer: A) 195

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5 1045
Q:

Rajesh sells a machine for Rs 57 lakhs at a loss. Had he sold it for Rs 67 lakh, his gain would have been 7 times the former loss. Find the cost price of the machine.

A) Rs 58.25 lakhs B) Rs 65.75 lakhs
C) Rs 75.14 lakhs D) Rs 50.75 lakhs
 
Answer & Explanation Answer: A) Rs 58.25 lakhs

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2 1041
Q:

Cost price of 28 articles is equal to Sale price of 21 articles, then percentage of profit is

A) 12% B) 33 1⁄3 %
C) 20% D) 22%
 
Answer & Explanation Answer: B) 33 1⁄3 %

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2 1036
Q:

A wholesaler sold a water purifier at a loss of 40%. If the selling price has been increased by Rs. 125, then wholesaler will get the profit of 10%. What was the cost price of the purifier?

A) Rs. 250 B) Rs. 225
C) Rs. 275 D) Rs. 300
 
Answer & Explanation Answer: B) Rs. 225

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5 1033
Q:

A store sells a watch for a profit of 25% of the cost. Then the percentage of profit against selling price is

A) 22% B) 20%
C) 18% D) 15%
 
Answer & Explanation Answer: B) 20%

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4 1030
Q:

A rice trader buys 8 quintals of rice for Rs 3,600. 10% rice is lost in transportation. At what rate should he sell to earn 15% profit?

A) Rs 352.1 per quintal B) Rs 517.5 per quintal
C) Rs 575 per quintal D) Rs 582.3 per quintal
 
Answer & Explanation Answer: C) Rs 575 per quintal

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0 1030
Q:

Rohit wants to earn 21% profit on a belt after offering 45% discount. By how much percentage more should he mark the price of his article above the costprice?

A) 75.45 B) 120
C) 66 D) 102.5
 
Answer & Explanation Answer: B) 120

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