Question

A fruit-seller sells $4$ oranges for Rs. $3$, gaining $50\%$. Number of oranges bought and sold in order to gain Rs. 24.

Answer 1

Given, S.P of $4$ oranges $=Rs3$
And for these $4$ oranges, Profit $=50$ %
So, Profit % $=\frac{S.P.-C.P.}{C.P.}\times 100=50$

$=>\frac{3-C.P}{C.P}\times 100=50$

$=>3-C.P.=0.5C.P.$
$=>1.5C.P.=3$
$C.P.=2$
Hence, cost of $4$ oranges $=Rs2$
And cost of $1$ orange $=Rs\frac{2}{4}=Rs0.50$
And S.P. of $1$ orange $=Rs\frac{3}{4}=Rs0.75$
So, profit per orange $S.P.-C.P.=Rs0.75-Rs0.5-0=Rs0.25$
And to gain $Rs24$, number of oranges bought and sold $=\frac{24}{0.25}=96$