By what fraction selling price (S.P.) must be multiplied to get cost price (C.P.) if loss is 20 % ?

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7.Profit and Loss

hard

By what fraction selling price $(S.P.)$ must be multiplied to get the cost price $(C.P.)$ if the loss is $20 \% ?$

A

$\frac{4}{5}$

B

$\frac{8}{5}$

C

$\frac{5}{4}$

D

$\frac{6}{5}$

Solution

If $\operatorname{Loss}=20 \%$

$\therefore S.P =\frac{100-20}{100} \Rightarrow \frac{80}{100} \Rightarrow \frac{4}{5}$

To make it equal to $C.P$ which is $100 \%,$ we must multiple the fraction with $\frac{5}{4}$

$S.P$ $=\frac{4}{5} \times \frac{5}{4}=1[ C . P ]$

Standard 13

Quantitative Aptitude

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