20
Q:

A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss ?

A) Rs. 404.80 B) Rs. 536.80
C) Rs.440 D) Rs. 160

Answer:   A) Rs. 404.80



Explanation:

Let C1 be the cost price of the first article and C2 be the cost price of the second article.
Let the first article be sold at a profit of 22%, while the second one be sold at a loss of 8%.

We know, C1 + C2 = 600.
The first article was sold at a profit of 22%. Therefore, the selling price of the first article = C1 + (22/100)C1 = 1.22C1
The second article was sold at a loss of 8%. Therefore, the selling price of the second article = C2 - (8/100)C2 = 0.92C2.

The total selling price of the first and second article = 1.22C1 + 0.92C2.

As the merchant did not make any profit or loss in the entire transaction, his combined selling price of article 1 and 2 is the same as the cost price of article 1 and 2.

Therefore, 1.22C1 + 0.92C2 = C1+C2 = 600
As C1 + C2 = 600, C2 = 600 - C1. Substituting this in 1.22C1 + 0.92C2 = 600, we get
1.22C1 + 0.92(600 - C1) = 600
or 1.22C1 - 0.92C1 = 600 - 0.92*600
or 0.3C1 = 0.08*600 = 48
or C1 = 48/(0.3) = 160.
If C1 = 160, then C2 = 600 - 160 = 440.
The item that is sold at loss is article 2. The selling price of article 2 = 0.92*C2 = 0.92*440 = 404.80.

Q:

A manufacturer sells cooking gas stoves to shopkeepers at 10% profit, and in turn they sell the cooking gas stoves to customer to earn 15% profit. If a customer gets a cooking gas stove for ₹7,590, then what is its manufacturing cost?

 

A) ₹ 6,500 B) ₹5,000
C) ₹5,090 D) ₹6,000
 
Answer & Explanation Answer: D) ₹6,000

Explanation:
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0 133
Q:

X sells shoes to Y at a profit of 20% and Y sells same shoes to Z at a profit of 23%. If Z pays Rs 3321 for the shoes, then what was the cost price (in Rs) of shoes for X?

 

A) 1950   B) 2450  
C) 2250   D) 2045
 
Answer & Explanation Answer: C) 2250  

Explanation:
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0 119
Q:

A trader marks his goods at 60% above the cost price and allows a discount of 25%. What is his gain percent?

 

A) 20% B) 25%
C) 30% D) 40%
 
Answer & Explanation Answer: A) 20%

Explanation:
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1 174
Q:

A man sold two gifts at Rs. 30 each. On one gift he gained 18%, and on the other gift he lost 18%. What is his over all gain/loss (in Rs. )?

 

A) Gain of Rs. 1.75   B) Loss of Rs. 2.00  
C) Loss of Rs. 2.50   D) Gain of Rs. 2
 
Answer & Explanation Answer: B) Loss of Rs. 2.00  

Explanation:
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2 189
Q:

Let us say that the price of a pen has increased from Rs. 10 to Rs. 15. What is the ratio of its original price to the new price?

 

A) 3 : 2 B) 2 : 3
C) 5 : 4 D) 4 : 5
 
Answer & Explanation Answer: B) 2 : 3

Explanation:
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3 105
Q:

If the ratio of marked price and selling price is 14 : 11, then what is the discount percentage?

 

A) 42.58   B) 21.42  
C) 36.36   D) 33.33
 
Answer & Explanation Answer: B) 21.42  

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1 499
Q:

Pankaj sells a trouser at a loss of 10%. If he buys it for 20% less price and sells it for Rs. 9 more, then he gains 15%. What is the cost price (in Rs) of the trouser?

 

A) 450   B) 400  
C) 350   D) 440
 
Answer & Explanation Answer: A) 450  

Explanation:
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3 142
Q:

Ram makes a profit of 30%by selling an article. What would be the profit percent if it were calculated on the selling price instead of the cost price? (Correct to one decimal! place)

 

A) 22.4 % B) 23.1 %
C) 20.1 % D) 24.2 %
 
Answer & Explanation Answer: B) 23.1 %

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0 132