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 stove with cooker was Rs 13,125. The cooker was sold at a profit of 30% and the stove at a loss of 20%. If the sale price was the same in both the items, then the cost price of the cheaper item was

A) Rs 8125 B) Rs 5000
C) Rs 6562.5 D) Rs 6175
 
Answer & Explanation Answer: B) Rs 5000

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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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Q:

If by selling an article for Rs. 390 a shopkeeper gains 20% , then the cost is

A) Rs. 370 B) Rs. 325
C) Rs. 350 D) Rs. 300
 
Answer & Explanation Answer: B) Rs. 325

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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:

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:

If a merchant offers a discount of 25% on the list price, then he makes a loss of 5%. What % profit or % loss will he make if he sells at a discount of 10% of the list price?

A) 5.5 percent loss B) 14 percent profit
C) 50 percent profit D) 26 percent loss
 
Answer & Explanation Answer: B) 14 percent profit

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Q:

Junko sold an item for Rs. 220 at a loss of 12%. By how much should she have raised the price to make a profit of 10% ?

A) Rs. 25 B) Rs. 48.40
C) Rs. 44 D) Rs. 55
 
Answer & Explanation Answer: D) Rs. 55

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Q:

A shopkeeper by selling 23 Lotto shoes, earns a profit equal to the selling price of 7 Lotto shoes. His profit percentage is

A) 43.75 percent B) 30.4 percent
C) 60.8 percent D) 17.05 percent
 
Answer & Explanation Answer: A) 43.75 percent

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