Question

A boy buys $9$ apples for $Rs.9.60$ and sells them at $11$ for $Rs.12$. Find his gain or loss percent.

Answer 1

Since the boy bought $9$ apples and sold $11$ apples then this must be only possible if he a total of multiple of $9$ and $11$.

Therefore, let the the total apples be LCM of $9$ and $11$ which is $99$.

Now, CP of $9$ apples $=Rs.9.60$

Therefore, CP of $99$ apples $=Rs.9.60\times 11=Rs.105.6$

Also, SP of $11$ apples $=Rs.12$

Therefore, SP of $99$ apples $=Rs.12\times 9=Rs.108$

As SP $>$ CP, therefore,

Profit $=$ SP $-$ CP

$=108-105.6$

$=Rs.2.4$

Profit$\%=\frac{\text{Profit}}{\text{CP}}\times 100$

$=\frac{2.4}{105.6}\times 100$

$=2.27\%$

Hence profit percent earned by the boy is $2.27\%$.