Question

A fruit seller losses $10\text{\%}$ by selling $26$ oranges for Rs. $25$. The number of oranges he should sell for Rs. $5$ each to gain $17\text{\%}$ is

• A. $4$
• B. $5$
• C. $6$
• D. $8$

Answer 1

The correct option is A $4$

$SP$ of 1 orange = $Rs.\frac{25}{26}$
$Loss=10\text{\%}$
$CP$ of 1 orange = $\frac{SP}{0.90}=\frac{25}{26}\times \frac{100}{90}=\frac{250}{234}$ to gain $17\text{\%}$
$SP=1.17\times \frac{250}{234}$
$SP=\frac{250}{200}=\frac{5}{4}$
Number of oranges = $\frac{5}{\frac{5}{4}}=4$