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Mathematics

Kiran purchases an article for Rs 5310 which includes 10% rebate on the marked price and 18% tax (under GST) on the remaining price. Find the marked price of the article.

GST

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Answer

Given:
Rate of GST = 18%
Rebate(or discount) = 10% on Marked Price

Let the marked price be P
Cost price of the article = Marked Price - Discount

=P−10% of P=P−(10100)×P=(90P100)=0.9P= \text{P} - 10\% \text{ of P} \\[1em] = \text{P} - \Big(\dfrac{10}{100}\Big) \times \text{P} \\[1em] = \Big(\dfrac{90\text{P}}{100}\Big) \\[1em] =0.9\text{P}

Amount of GST on cost price of article = 18% of 0.9P

Amount paid by Kiran = Cost Price + GST = 5310

⇒0.9P+(18100×0.9P)=5310⇒0.9P+0.162P=5310⇒1.062P=5310⇒P=53101.062=₹5000\Rightarrow 0.9\text{P} + \Big(\dfrac{18}{100}\times0.9\text{P}\Big) = 5310 \\[0.5em] \Rightarrow 0.9\text{P} + 0.162\text{P} = 5310 \\[0.5em] \Rightarrow 1.062\text{P} = 5310 \\[0.5em] \Rightarrow \text{P} = \dfrac{5310}{1.062} = \bold{₹5000}

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