Question

Ravish sold his motorcycle to Vineet at a loss of $28\%$. Vineet spend $Rs.1680$ on its repairs and sold the motor cycle to Rahul for $Rs.35910$, thereby making a profit of $12.5\%$, find the cost price of the motor cycle for Ravish.

Answer 1

Cost price of cycle for Rahul or Selling price for Vineet $=Rs.35910$
Gain $=12.5\%$
C.P for Vineet $=\frac{S.P\times 100}{100+gain\%}$
$=\frac{35910\times 100}{100+12.5}$

$=\frac{35910\times 100}{112.5}$

$=\frac{35910\times 100\times 10}{1125}$

$=Rs.31920$
Expenditure on repairs = Rs. 1680
Therefore, actual cost of the motor cycle $=Rs.3192-1680=Rs.30240$
i.e., S.P for Ravish $=Rs.30240$
Loss $=28\%$
$\therefore$ C.P for Ravish $=\frac{S.P\times 100}{100-loss\%}$

$=\frac{30240\times 100}{100-28}$

$=\frac{30240\times 100}{72}$

$=Rs.42000$