Given
The total cost of a scooter including sales tax is ₹$37,462.50$
The rate of sales tax $11%$
Calculation
Let, the basic price of scooter be$y$
Total price of the scooter = ₹$\left[ y+\left( \left( y\times 11 \right)/100 \right) \right]$
$=111y/100$
$111y/100=$ ₹$37,462.50$ ,
$111y=37,462.50\times 100$
$111y=37,46,250$
$y=37,46,250/111$
$y=$ ₹$33,750$
$\therefore $ The basic price of scooter is ₹$33,750$