Question

Oranges are bought at rate of $10$ for Rs. $25$ and sold at rate of $9$ for Rs. $25$. The profit % is

• A. $\frac{100}{11}\%$
• B. $10\%$
• C. $\frac{100}{9}\%$
• D. $\frac{25}{2}\%$

Answer 1

Answer: (C)

$\frac{100}{9}\%$

L.C.M. of $9$ and $10$ is $90$
S.P of $90$ oranges $=$ Rs. $\frac{25}{9}\times 90=$ Rs. $250$
C.P of $90$ oranges $=$ Rs. $\frac{25}{10}\times 90=$ Rs. $225$
Therefore, profit $\%=\frac{S.P.-C.P.}{C.P.}\times 100$

$=\frac{250-225}{225}\times 100$

$=\frac{25}{225}\times 100$

$=\frac{100}{9}\%$