By selling an article at frac{3}{4}^{t h} of marked price, there is gain of 25 % . ratio of marked p

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7.Profit and Loss

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By selling an article at $\frac{3}{4}^{t h}$ of the marked price, there is gain of $25 \%$. The ratio of the marked price and the cost price is

A

$5:3$

B

$3:5$

C

$3:4$

D

$4:3$

Solution

Let, the cost price be $₹ 100$ and the marked price be $Rs.x$

Now, according to the question,

$x \times \frac{3}{4}=125$

$\Rightarrow x=\frac{125 \times 4}{3}=₹ \frac{500}{3}$

$\therefore$ required ratio $=\frac{500}{3}: 100=5 :3$

Standard 13

Quantitative Aptitude

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