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Juhi sells a washing machine for $Rs.\ 13,500$. She loses $20 \%$ in the bargain. What was the price at which she bought it?
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 $Rs.\ 16,875$.
Updated on: 10-Oct-2022
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