Question

On selling a mobile for $Rs750$, a shop keeper loses $10\%$. For what amount should he sell it to gain $5\%$

Answer 1

SP $=$Rs. $750$ Let CP $=x$

Loss $\%=10$

Loss $\%=\frac{Cp-Sp}{Cp}\times 100$

$10=\frac{x-Sp}{x}\times 100$

$\Rightarrow \frac{x}{10}=x-750$

$\Rightarrow 750=\frac{9x}{10}$

so, $x=\frac{750\times 10}{9}=833.34$ Rs.

Let the new Sp be y Gain $\%=5$

Gain $\%=\frac{Sp-Cp}{Cp}\times 100$

$5=\frac{(y-833.34)}{833.34}\times 100$

So $y=875$ Rs.