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


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