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A merchant marked the price on his goods 20% more than its cost price and allows a discount of 15%. His profit per cent is

A) 1%
B) 2%
C) 10%
D) 15%

Correct Answer:


B) 2%

Description for Correct answer:

Let the cost price of item = Rs.x

Therefore, Marked price of Item = \( \Large \frac{x \times \left(100+20\right) }{100}=Rs.\frac{6x}{5} \)

Then, selling price of item = \( \Large \frac{6x}{5} \times \left(\frac{100-15}{100}\right)=\frac{6x \times 17}{5 \times 20} = Rs.\frac{102}{100}x \)

= Profit = \( \Large \left(\frac{102x}{100}-x\right) = Rs.\frac{2}{100}x \)

Gain per cent = \( \Large \frac{\frac{2x}{100} \times 100\%}{x} \) = 2%

Part of solved Discount questions and answers : >> Aptitude >> Discount

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Similar Questions

1). A trader lists his articles 20% above their cost prices and allows a discount of 10% at the time of sale. His gain per cent is

A). 5%

B). 6%

C). 8%

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2). While selling a shirt, a shopkeeper gives a discount of 7%. If he had given a discount of 9%, he would have got Rs.15 less as profit. The marked price of the shirt is

A). Rs.750

B). Rs.720

C). Rs.712.50

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3). While selling a watch, a shopkeeper gives a discount of 5%. If he gives a discount of 6%, he earns Rs.15 less as profit. What is the marked price of the watch?

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D). Rs.750

4). After allowing a discount of 16%. there was still a gain of 5%. Then. the percentage of marked price over the cost price is

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5). A shopkeeper marks an article at Rs.60 and sells at a discount of 15% He also gives a gift worth Rs.3. If he still makes 20% profit, the cost price is

A). Rs.22

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6). A shopkeeper allows 23% commission on his advertised price and still makes a profit of 10%. If he gains Rs.56 on one item, his advertised price of the item (in Rs.) is

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7). A shopkeeper allows a discount of 10% to his customers and still gains 20%, the marked price of the article which costs Rs.450, is

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B). Rs.540

C). Rs.660

D). Rs.580

8). A dozen pair of socks quoted at Rs.80 are available at a discount of 10%. How many pair of socks can be bought for Rs.24?

A). 4

B). 5

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9). A tradesman allows a discount of 15% on the marked price. How much above the cost price must he mark his goods as to gain 19%?

A). 34%

B). 40%

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10). If a commission of 10% is given on the written price of an article, the gain is 20%. The gain per cent, when the commission is increased to 20%, will be

A). \(\Large 6\frac{2}{3} \)%

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C). 8%

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