Question

Dinesh bought an article for Rs. $374$, which included a discount of $15\%$ on the marked price and a sales-tax of $10\%$ on the reduced price. Find the marked price of the article.

Answer 1

Let the marked price be $Rs.100$
$\therefore$ Discount $=15\%ofRs.100=Rs.15$
$\Rightarrow$ Sale-price $=Rs.100-Rs.15=Rs.85$
Sales-tax $=10\%ofRs.85=Rs.8.50$
$\therefore$ Price paid by Dinesh for the article $=Rs.85+Rs.8.50=Rs,93.50$
When Dinesh paid $=Rs.93.50$, $M.P.=Rs.100$
$\Rightarrow$ When Dinesh paid $=Rs.1$, M.P. = Rs. $\frac{100}{93.50}$
$\Rightarrow$ When Dinesh paid = Rs. 374, M.P. = Rs. $\frac{100}{93.50}\times 374$= $Rs.400$