The present price of a scooter is $Rs.7,290.$ If its value decreases every year by $10\%,$ then its value $3$ years ago was

The correct option is A: $Rs10,000$

Present price, $=Rs.7290$

Decrease $\%=10\%$

Time $=3$ years

Price of the scooter $3$ years ago is given by

$\Rightarrow 7290=P(1-\frac{10}{100}{)}^3$ [$\because P=$ Price of scooter $3$ years ago]

$\Rightarrow 7290=P(\frac{90}{100}{)}^3$

$\Rightarrow P=\frac{7290\times 1000}{9^3}$

$\therefore P=Rs.10000$