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:

Raghavendra sells a machine for Rs 43 lakhs at a loss. Had he sold it for Rs 52 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine.

A) Rs 50.5 lakhs B) Rs 60.6 lakhs
C) Rs 44.5 lakhs D) Rs 38.5 lakhs
 
Answer & Explanation Answer: C) Rs 44.5 lakhs

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Q:

Dipali bought a set of cups for Rs. 375, but then had to sell it later to clear old stocks for Rs. 345. What is the percentage of loss that she incurred?

A) 14 B) 7
C) 16 D) 8
 
Answer & Explanation Answer: D) 8

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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:

A shopkeeper sells wheat at a profit of 20% and for weighing uses a weight which is 10% less than the actual weight. What is his total profit percentage?

 

A) 31.24 B) 37.5  
C) 30   D) 33.33
 
Answer & Explanation Answer: D) 33.33

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Q:

P, Q and R are partners in a company. In any year P receives 1/9 part of profit, Q receives 1/6 part of profit and R receives Rs 130000. How much amount (in Rs) will P get as profit?

A) 40000 B) 36000
C) 18000 D) 20000
 
Answer & Explanation Answer: D) 20000

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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:

The selling price of an item inclusive of a 16% profit was Rs. 435. What would be the percentage loss if the item was sold for Rs. 330?

A) 13 B) 12
C) 12.5 D) 12.25
 
Answer & Explanation Answer: B) 12

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Q:

A shopkeeper marks the price of an article at Rs. 320. Find the cost price if after allowing a discount of 10%, he still gains 20% on the cost price.

A) Rs. 240 B) Rs. 280
C) Rs. 300 D) Rs. 264
 
Answer & Explanation Answer: A) Rs. 240

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