Question

By selling a washing machine for Rs. $2700$, Juhi lost $10\%$ on it. At what price she gain $5\%$?

Answer 1

Juhi lost $10\%$ on selling the washing machine at $Rs.2700.$

Let the CP be 'x'

$\therefore \frac{x-2700}{x}=\frac{10}{100}$

$\Rightarrow 1-\frac{2700}{x}=\frac{1}{10}$

$\Rightarrow \frac{9}{10}=\frac{2700}{x}$

$\Rightarrow x=3000$

Now to gain $5\%,$ let the selling price be $y$

$\therefore \frac{y-3000}{3000}=\frac{5}{100}$

$\Rightarrow \frac{y}{3000}-1=\frac{1}{20}$

$\Rightarrow \frac{y}{3000}=\frac{21}{20}$

$\Rightarrow y=\frac{21}{20}\times 3000$

$=21\times 150$

$=Rs.3150$

Hence, the answer is $Rs.3150.$