Question

By selling a music system for $Rs.9000$ Rahul incurred a loss of $10\%.$ Had he sold it at $Rs.12000,$ what would be his loss or profit percent?

• A. $12\%$
• B. $200\%$
• C. $120\%$
• D. $20\%$

Answer 1

The correct option is D $20\%$

Given:

$SP=Rs.9000$

$\text{loss}\%=10\%$

Let the $CP$ of the music system be $x.$

So,

$\begin{array}{cc}\text{loss}\%& =\frac{CP-SP}{CP}\times 100\\ 10& =\frac{x-9000}{x}\times 100\\ 0.1x& =x-9000\\ 0.9x& =9000\\ x& =10,000\end{array}$

Now, when $SP$ is $Rs.12,000$ which is greater than $Rs.10,000$ so, there will be profit,

$\begin{array}{cc}\text{profit}\%& =\frac{12000-10000}{10000}\times 100\\ & =\frac{2000}{10000}\times 100\\ & =20\%\end{array}$