20 % loss on selling price is what per cent loss on cost price? (in % )

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7.Profit and Loss

hard

$20 \%$ loss on selling price is what per cent loss on the cost price? (in $\%$)

A

$25$

B

$16 \frac{2}{3}$

C

$15$

D

$16 \frac{1}{3}$

Solution

Let, the $C.P.$ be $₹100.$

Let, the $S.P$ be $₹x,$ then

$\frac{100-x}{x} \times 100=20$

$\Rightarrow 100(100-x)=20 x$

$\Rightarrow 10,000-100 x=20 x$

$\Rightarrow 10,000=20 x+100 x$

$\Rightarrow 10,000=120 x$

$\Rightarrow \frac{10,000}{120}=x$

$\Rightarrow ₹ \frac{250}{3}=x$

Hence, required loss $\%$

$=100-\frac{250}{3}=\frac{50}{3}=16 \frac{2}{3} \%$

Standard 13

Quantitative Aptitude

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