Question

If a man were to sell his hand-cart for $Rs.720$, he would lose $25\%$. What must he sell it for to gain $25\%$?

Answer 1

Given: S.P of the cart $=Rs.720$

Loss $=25\%$

$\therefore C.P=(\frac{100}{100-\text{Loss percent}}\times S.P)$

$\Rightarrow C.P=Rs.(\frac{100}{100-25}\times 720)$
$=\frac{100}{75}\times 720$

$=Rs.(\frac{4}{3}\times 720)$
$=Rs.4\times 240$
$=Rs.960$

Desired gain $=25\%$

$\therefore S.P=\frac{100+\text{Gain percent}}{100}\times C.P$

$\Rightarrow S.P=Rs.(\frac{100+25}{100}\times 960)$
$=Rs.(\frac{125}{100}\times 960)$

$=Rs.(\frac{5}{4}\times 960)$
$=5\times 240$
$\therefore S.P=Rs.1200$
Hence, Selling price to gain $25\%$ is $Rs.1200$