Juhi sells a washing machine for $Rs.\ 13,500$. She loses $20 \%$ in the bargain. What was the price at which she bought it?

AcademicMathematicsNCERTClass 7

Given:

Juhi sells a washing machine for $Rs.\ 13,500$. She loses $20 \%$ in the bargain.


To do: To find the price at which she bought it.

Solution:

The selling price of a washing machine$=Rs.\ 13500$

Loss percent$=20$%

Let the cost price of the washing machine be $Rs.\ x$.

Loss$=$Loss% of C.P.

$\Rightarrow$ Loss$=20$ % of $Rs.\ x$

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

$=\frac{x}{5}$

Therefore, $S.P.=C.P. -$ Loss

$\Rightarrow\ 13500=x-\frac{x}{5}$

$\Rightarrow13500=\frac{4x}{5}$

$\Rightarrow\ x=\ \frac{13500\times5}{4}=\ Rs.\ 16,875$

$=Rs.\ 16,875$

Hence, the cost price of the washing machine is $Rs.\ 16,875$.
raja
Updated on 10-Oct-2022 13:35:12

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