Question

A coal merchant makes a profit of $20\%$ by selling firewood at $Rs.25$ per quintal. Find the profit if he sells the firewood at $Rs.22.50$

Answer 1

Lets cots price of coal is Rs X per Qu
then profit per Qu=25-X
so
as per question profit on one Qu coal is Rs20%
so $\frac{25-X}{X}=\frac{20}{100}$
$X=\frac{125}{6}$
Then cost of $240$ Qu coal = $240\times \frac{125}{6}=5000$
Then as per question S.P of $240$ Qu coal = $240\times 22.5=5400$
so profit =$5400-5000=400$
Then $\%$ of profit =$400\times \frac{100}{5000}$=$8\%$