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

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Solution

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

Given, Selling price = ₹ 13,500

$L o s s % = 20 %$

Let the cost price be $x .$

$∴ L o s s = 20 % o f x$

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 ₹ 16875.
So, cost price of the article = ₹ 16875

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

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

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