Question

Juhi sells a washing machine for Rs.$13500$. She loses $20\%$ in the bargain. What was the price at which she bought it.

Answer 1

Find the cost Price of the washing machine

Selling Price $=\mathrm{Rs}13500$

Loss $\%$ $=20\%$

$$\begin{gathered} \mathrm{Loss}\%=\frac{\mathrm{Cost}\mathrm{Price}-\mathrm{Selling}\mathrm{Price}}{\mathrm{Cost}\mathrm{Price}} \\ \Rightarrow \mathrm{Cost}\mathrm{Price}=\frac{\mathrm{Selling}\mathrm{Price}}{1-\text{loss}\%} \end{gathered}$$

$\Rightarrow \mathrm{Cost}\mathrm{Price}=\frac{100\times 13500}{80}=\mathrm{Rs}16875$

Hence, Juhi bought Washing Machine for $\mathrm{Rs}16875$.