Question

After allowing 20%
discount on the marked price of an article 15% VAT was
levied on it. If the watch was sold for Rs. 6900, calculate the
marked price of the watch.
​

Answer 1

Step-by-step explanation:

Let the Marked price of watch be ₹ x

$\therefore \: Discounted \: Price \: = x - 20 \% \: of \: x \\ \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=x - 0.2x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: = 0.8x \\ Amount \: of \: VAT = 15 \% \: of \:0.8 x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: = 0.15 \times 0.8x \\ \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: = 0.12x \\ Now \\ Selling \: Price = 0.8x + 0.12x \\ \therefore \: 6900= 0.92x \\ \therefore \: x = \frac{6900}{0.92} \\ \huge \fbox{ \therefore \: x = 7500}$

Thus, the Marked Price of watch is ₹ 7500.