Question

Juhi sold a washing machine for ₹13,500 at a loss of $20\%$. Find the cost price of the washing machine. At what price she must sell to gain 20$\%$?

Answer 1

Given,
Selling price = ₹13,500

$\text{Loss}\%=20\%$

Let the cost price be $\text{x.}$

$\therefore Loss=20\%\text{of x}$

Selling price = Cost price - Loss

$\Rightarrow 13,500=\text{x}-\frac{20}{100}\times \text{x}$

$\Rightarrow 13,500=\text{x}-\frac{1}{5}\text{x}$

$\Rightarrow 13,500=\frac{4}{5}\text{x}$

$\Rightarrow \text{x}=16,875$

Therefore, she bought it for ₹16,875.
So, cost price of the article = ₹16,875

20% of the cost price
$=\frac{20}{100}\times 16,875=\text{₹}3,375$

Net amount = ₹16,875 + ₹3,375 = ₹20,250
So, in order to gain a profit of 20%, she should sell it at ₹20,250.