Question

Find the gain or loss percent in the following case$:$

$S.P.$ $₹15\frac{1}{2}$ and Gain $₹2$

Answer 1

To find the loss or gain percent according to given values.

It is given that gain $=$$₹2$

and $S.P.$ $=$ $₹15\frac{1}{2}$

$S.P.$ $=$ $₹\frac{31}{2}$

Gain $=$$S.P.-C.P.$

$C.P.=S.P.-$ Gain

$C.P.=\frac{31}{2}-2$

$C.P.=\frac{31-4}{2}$

$C.P.=\frac{27}{2}$

Now find the gain percent.

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

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

$=\frac{2}{{\displaystyle \frac{27}{2}}}\times 100$ $,$

$=\frac{4}{{\displaystyle 27}}\times 100$

$=\frac{400}{{\displaystyle 27}}$

$=14.81\%$

Hence, the gain percent is $14.81\%$