Question

Madan purchases a compact computer system for Rs. $47,700$ which includes $10\%$ rebate on the marked price and then $6\%$ Sales Tax on the remaining price. Find the marked price of the computer.

Answer 1

let the marked price of the computer be Rs.x

$\therefore$ Rebate=10% of x$=\frac{10}{100}\times x=Rs.\frac{x}{10}$

$\Rightarrow SalesPrice=x-\frac{x}{10}=Rs.\frac{9x}{10}$

$\therefore$price paid by Madan$=\frac{100+6}{100}\times \frac{9x}{10}=\frac{954x}{1000}$ $[\because Sales-tax=6\%$]

According to the question

$\Rightarrow \frac{954x}{1000}=47700$

$\Rightarrow x=\frac{47700000}{954}$

$\Rightarrow x=50,000$

$\therefore$Marked Price$=Rs.50,000$