25
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 man bought 2 articles for ₹3050 each. He sold one article at 10% loss and another at 20% profit. The total profit/loss percentage he earned is:

 

 

A) 10% loss B) 5% loss
C) 5% profit D) 10% profit
 
Answer & Explanation Answer: C) 5% profit

Explanation:
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0 339
Q:

There was 25% off on shirt. A lady bought that shirt and got an additional 20% discount for paying in cash and further 10% discount for being a loyal customer. She paid ₹324. What was the price tag (in ₹) on the shirt ?

 

A) 750 B) 600
C) 650 D) 725
 
Answer & Explanation Answer: B) 600

Explanation:
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0 141
Q:

A person purchased a vehicle for ₹5,90,828 and sold it for ₹6,52,920. What is the profit percent he earned on this vehicle (correct to two decimal places) ?

 

A) 9.51% B) 9.55%
C) 10.51% D) 11.55%
 
Answer & Explanation Answer: C) 10.51%

Explanation:
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0 219
Q:

There was 25% off onshirt. A lady boughta shirt and got an additional 20% discount for paying in cash and further 10% discount for being a loyal customer. She paid ₹405. What was the price tag (in ₹) on the shirt?

A) 600 B) 650
C) 725 D) 750
 
Answer & Explanation Answer: D) 750

Explanation:
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1 305
Q:

A person purchased a vehicle for ₹4,90,828 and sold it for ₹5,52,920. What is the percent profit earned on this vehicle (correct to two decimal places)?

 

A) 19.55% B) 11.55%
C) 15.51% D) 12.65%
 
Answer & Explanation Answer: D) 12.65%

Explanation:
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0 930
Q:

A person purchased a vehicle for ₹4,89,828 and sold it for ₹5,89,828. What is the profit percent he earned on this vehicle (correct to two decimal places)?

 

A) 25% B) 15%
C) 18.65% D) 20.42%
 
Answer & Explanation Answer: D) 20.42%

Explanation:
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0 1031
Q:

A dealer buys an article marked at ₹20000 with two successive discounts of 20% and 5%. He spends ₹1800 on repairs and sells it for ₹20000, what is his profit/loss percent (correct to two decimal places)?

 

A) 23.64% loss B) 17.65% profit
C) 23.46% profit D) 17.65% loss
 
Answer & Explanation Answer: B) 17.65% profit

Explanation:
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2 1640
Q:

A man bought three articles for ₹3,000 each. He sold the articles respectively at 10% profit, 5% profit and 15% loss. The total percentage profit/loss he earned is:

 

A) 10% loss B) 5% profit
C) No profit no loss D) 5% loss
 
Answer & Explanation Answer: C) No profit no loss

Explanation:
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0 1735