Question

A man buys oranges at $₹26$ per dozen and sells them at $5$ for $₹13$ $,$Find his gain percent

Answer 1

Step $1:$ Find S.P and C.P of 1 orange

$1$ dozen $=12$

It is given that cost price of $1$ dozen oranges $=$$₹26$

Cost price of $12$ oranges $=$$₹26$

Cost price of $1$ orange $=$$\frac{26}{12}$

$=$$2.16$

Selling price of $5$ oranges $=$$₹13$

Selling price of $1$ orange $=$$\frac{13}{5}$

$=$$2.6$

Step $2:$ Find the gain percent,

Since S.P is greater than C.P

Gain percent $=\frac{S.P.-C.P.}{C.P.}\times 100$

$=\frac{2.60-2.16}{2.16}\times 100$

$=\frac{0.44}{2.16}\times 100$

$=\frac{44}{2.16}$

$=20.37\%$

Hence, the gain percent is $20.37\%$