Question

Sanjay sold a bicycle to Salman at $46\%$ profit. Salman spent Rs. $40$ on repairs and sold it to Sunil for Rs. $1500$. In this deal, Salman made neither profit nor loss. What is the cost price for Sanjay?

• A. Rs. $900$
• B. Rs. $960$
• C. Rs. $1000$
• D. Rs. $1060$

Answer 1

The correct option is C Rs. $1000$

Let the C.P. for Sanjay be Rs. $x$
Then, S.P. for Sanjay $=x+46\%$ of $x$
$=x+\frac{46}{100}x=\frac{146x}{100}$
$\therefore$ C.P. of Salman $=\frac{146x}{100}+40$
$\because$ Salman made neither profit nor loss.
$\frac{146x}{100}+40=1500$
$\Rightarrow \frac{146x}{100}=1460$

$\Rightarrow x=\frac{1460\times 100}{146}=$ Rs. $1000$.