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By selling an article at \( \Large \frac{3}{4} \)th of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price is

A) 5:3
B) 3:5
C) 3:4
D) 4:3

Correct Answer:

A) 5:3

Description for Correct answer:
Let MP of an article = Rs.x

Therefore, SP of an article = Rs.\( \Large \frac{3}{4}x \)

and CP of an article = \( \Large \frac{3x}{4} \times \frac{100}{100+25} \)

= \( \Large \frac{3x}{4} \times \frac{100}{125}= Rs.\frac{3x}{5} \)

Required ratio = \( \Large x : \frac{3x}{5} \) = 5 : 3

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

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Similar Questions

1). A retailer offers the following discount schemes for buyers on an article.
I. Two successive discounts of 10%.
II. A discount of 12% followed by a discount of 8%.
III. Successive discounts of 15% and 5%.
IV. A discount of 20%.
The selling price will be minimum under the scheme

A). I

B). II

C). III

D). IV

2). While selling, a businessman allows 40% discount on the marked price and there is a loss of 30%. If it is sold at the marked price, profit per cent will be

A). 10%

B). 20%

C). \( 16\frac{2}{3} \)%

D). \( 16\frac{1}{3} \)%

3). A man bought an article listed at Rs.1500 with a discount of 20% offered on the list price. What additional discount must be offered to the man to bring the net price to Rs.1104?

A). 8%

B). 10%

C). 12%

D). 15%

4). The cost price of an article is Rs.800. After allowing a discount of 10%, a gain of 12.5% was made. Then, the marked price of the article is

A). Rs.1000

B). Rs.1100

C). Rs.1200

D). Rs.1300

5). The marked price of a radio is Rs.480. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain per cent would be

A). 18%

B). 18.50%

C). 20.50%

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6). The marked price of a clock is Rs.3200. It is to be sold at Rs.2448 at two successive discounts. If the first discount is 10%, then the second discount is

A). 5%

B). 10%

C). 15%

D). 20%

7). The marked price of a TV is Rs.16000. After two successive discounts, it is sold for Rs.11400. If the first discount is 5%, then the rate of second discount is

A). 15%

B). 20%

C). 30%

D). 25%

8). A dealer marks his goods 30% above his cost price and then allows 15% discount on it. What is the cost price of an article on which he gains Rs.84?

A). Rs.800

B). Rs.560

C). Rs.373.33

D). Rs.280

9). A shopkeeper has announced 14% rebate on marked price of an article. If the selling price of the article is Rs.645, then the marked price of the article will be

A). Rs.800

B). Rs.810

C). Rs.750

D). Rs.775

10). A merchant has announced 25% rebate on prices of ready made garments at the time of sale. If a purchaser needs to have a rebate of Rs.400, then how many shirts, each costing Rs.320, should he purchase?

A). 10

B). 7

C). 6

D). 5