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:

The total cost of a microwave oven with mixer was Rs 36750. The mixer was sold at a profit of 32% and the microwave oven at a loss of 22%. If the sale price was the same in both the items, then the cost price of the cheaper item was _____.

A) Rs 13100 B) Rs 18375
C) Rs 13650 D) Rs 16850
 
Answer & Explanation Answer: C) Rs 13650

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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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3 1648
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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3 1638
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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3 1636
Q:

If a vendor sells apples at Rs 170 per kg he suffers 15% loss. If he sells at Rs 230 per kg, then what is his profit percentage?

A) 15 B) 10
C) 5 D) 20
 
Answer & Explanation Answer: A) 15

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Q:

Ramesh sold a book at a loss of 30%. If he had sold it for Rs. 140 more, he would have made a profit of 40%. The cost price of the book is

A) Rs. 280 B) Rs. 200
C) Rs. 260 D) Rs. 300
 
Answer & Explanation Answer: B) Rs. 200

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Q:

What is the value of 513-144 - 81 - 64  ?

A) 22 B) 21
C) 28 D) 19
 
Answer & Explanation Answer: A) 22

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Q:

A wholesaler sells a watch to a retailer at a gain of 20% and the retailer sells it to a customer at a loss of 10%. If the customer pays Rs 874.8, what had it cost the wholesaler?

A) Rs 945 B) Rs 810
C) Rs 994 D) Rs 675
 
Answer & Explanation Answer: B) Rs 810

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