Question

A man sells a car to his friend at $10$% loss. If the friend sells it for Rs.$54000$ and gains $20$% then the original $C.P$ of the car was ______ .

• A. Rs. $45000$
• B. Rs. $37500$
• C. RS. $50000$
• D. Rs. $60000$

Answer 1

The correct option is C RS. $50000$

Let original $C.P$ was $x$.

Then $S.P$ for man $x-\frac{10x}{100}=\frac{90x}{100}$.

S.P for friend $=\frac{90x}{100}+0.2\times \frac{90x}{100}=\frac{108x}{100}$ which is given as $54000$, i.e $x=\frac{54000\times 100}{108}=50000$,

hence $C$ is right option.