Question

A person wanted to sell a scooter at a loss of $25\%.$ But at the last moment, he changed his mind and sold the scooter at a loss of $20\%.$ If the difference in the two SP's is $₹4000,$ then find the CP of the scooter.​

Answer 1

Let the cost price of the scooter be $₹x.$

If he sells the scooter at a loss of $25$ then

$SP=x-25\%ofx=x-\frac{25}{100}x=$ ₹$\frac{75}{100}$x

and if he sells the scooter at a loss of 20 %, then

$SP=x-20\%ofx=x-\frac{20}{100}x=\frac{80}{100}x$

It is given that the difference in the two SP's is ₹ 4000.

$\therefore \frac{80}{100}x-\frac{75}{100}x=4000$

$\Rightarrow \frac{80x-75x}{100}=4000$

$\Rightarrow \frac{5x}{100}=₹4000$

$\Rightarrow x=\frac{4000\times 100}{5}$$=₹80000$

Hence, cost price of scooter is ₹ 80000.