Question

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$\%$?
[4 MARKS]

Answer 1

Formula: 1 Mark
Steps: 2 Marks
Answer: 1 Mark

Given, Selling price = Rs 13,500

$Loss\%=20\%$

Let the cost price be $x.$

$\therefore Loss=20\%ofx$

Selling price = Cost price - Loss

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

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

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

$\Rightarrow x=16875$

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

20% of the cost price
$=\frac{20}{100}\times 16875=Rs3375$

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.