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.

Given:

Rate of GST = 18%

CP of an article

$=\text{ }x\text{ }\text{ }10%\text{ }of\text{ }x$

$=\text{ }x\text{ }\text{ }\left( 10/100 \right)x$

$=\text{ }90x/100$

$=\text{ }9x/10$

Amount of GST on CP of article

$=\text{ }18%\text{ }of\text{ }9x/10$

$=\text{ }\left( 18/100 \right)\text{ }\times \text{ }9x/10$

Total CP of article

$\begin{array}{*{35}{l}} =\text{ }9x/10\text{ }+\text{ }\left[ \left( 18/100 \right)\text{ }\times \text{ }9x/10 \right] \\ \text{ }9x/10\left( 1\text{ }+\text{ }18/100 \right)\text{ }\text{ }\left( 118/100 \right)\text{ }\times \text{ }9x/10 \\ \end{array}$

It is given that, CP of an article including tax

$=\text{ }Rs.\text{ }5310$

So,

$\left( 118/100 \right)\text{ }\times \text{ }9x/10\text{ }=\text{ }5310$

$x\text{ }=\text{ }5310\text{ }\times \text{ }\left( 100/118 \right)\text{ }\times \text{ }\left( 10/9 \right)$

$=\text{ }5000$

The required marked price of an article is Rs. 5000

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