An article is purchased for ₹ 1,792 which includes a discount of 30% and 28% GST. Find the marked price of the article.

Let Marked Price of an article be ₹ $x$

Discount = 30% of ₹ x

$\Rightarrow\dfrac{30}{100} \times ₹ x\\[1em] \Rightarrow\dfrac{3}{10} \times ₹ x\\[1em] \Rightarrow ₹ \dfrac{3x}{10}$

Taxable cost of article = ₹ $x - \dfrac{3x}{10}$

= ₹ $\dfrac{10x}{10} - \dfrac{3x}{10}$

= ₹ $\dfrac{7x}{10}$

IGST = 28% of ₹ $\dfrac{7x}{10}$

$\Rightarrow ₹\Big(\dfrac{28}{100} \times \dfrac{7x}{10}\Big) \\[1em] \Rightarrow ₹\Big(\dfrac{7}{25} \times \dfrac{7x}{10}\Big) \\[1em] \Rightarrow ₹ \dfrac{49x}{250}$

Amount of bill = Taxable Cost + Tax = 1,792

$\Rightarrow ₹ \dfrac{7x}{10} + ₹ \dfrac{49x}{250} = 1,792 \\[1em] \Rightarrow ₹ \dfrac{175x}{250} + ₹ \dfrac{49x}{250} = 1,792 \\[1em] \Rightarrow ₹ \dfrac{(175x + 49x)}{250} = 1,792 \\[1em] \Rightarrow ₹ \dfrac{224x}{250} = 1,792 \\[1em] \Rightarrow x = ₹\Big(\dfrac{1,792 \times 250}{224}\Big) \\[1em] \Rightarrow x = ₹\Big(\dfrac{4,48,000}{224}\Big) \\[1em] \Rightarrow x = ₹ 2,000 \\[1em]$

Hence, the marked price of the article = ₹ 2,000.