Question

A man sells a mare for Rs. $1085$ making a profit $8\frac{1}{2}$ $\%$. The cost of the mare is:

• A. Rs.$982$
• B. Rs. $999.50$
• C. Rs. $927.75$
• D. Rs.$1000$

Answer 1

The correct option is D Rs.$1000$

S.P $=$ Rs. $1085$

Profit $=8\frac{1}{2}$ $\%$

C.P. $=\frac{100}{100+\text{gain}\%}\times$ S.P.

$\Rightarrow \frac{100}{100+\frac{17}{2}}\times 1085$

$\Rightarrow \frac{100\times 2}{217}\times 1085$

$\Rightarrow \frac{217000}{217}=$ Rs. $1000$