Question

Question 6
Juhi sold a washing machine for Rs13,500 at the 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 = Rs 13,500

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

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

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

Selling price = Cost price - Loss

$\Rightarrow 13500=\text{x}-\frac{20}{100}\times \text{x}$

$\Rightarrow 13500=\text{x}-\frac{1}{5}\text{x}$

$\Rightarrow 13500=\frac{4}{5}\text{x}$

$\Rightarrow \text{x}=16875$

Therefore, she bought it for Rs 16875.
So, cost price of the article = Rs 16875

20% of the cost price
$=\frac{20}{100}\times 16875=\text{Rs}3375$

Net amount = 16875 + 3375 = Rs 20250
So, in order to sell the washing machine at 20% profit, she needs to sell it at Rs 20250.