The marked price of an article is Rs. 7500. A shopkeeper buys the article from a wholesaler at some discount and sells it to a consumer at the marked price. The sales are intra-state and the rate of GST is 12%. If the shopkeeper pays 90 as tax (under GST) to the State Government, find: (i) the amount of discount. (ii) the price inclusive of tax (under GST) of the article which the shopkeeper paid to the wholesaler

The marked price of the article

$=\text{ }Rs.\text{ }7500$

Let us assume the discount be x%

Then, discount

$=\text{ }\left( x/100 \right)\text{ }x\text{ }Rs.\text{ }7500\text{ }=\text{ }Rs.\text{ }75x$

So, the selling price of the article from the wholesaler

$~=\text{ }Rs.\text{ }7500\text{ }\text{ }Rs.\text{ }75x$

The rate of GST

$=\text{ }12%$

The tax (under GST) paid by the shopkeeper to the State Government

$=\text{ }6%\text{ }of\text{ }\left( Rs.\text{ }7500\text{ }\text{ }Rs.\text{ }75x \right)\text{ }\ldots \text{ }\left( i \right)$

The shopkeeper resells the article at the marked price to a consumer

Then, the tax (under GST) paid by the shopkeeper to the State Government

$=\text{ }6%\text{ }of\text{ }Rs.\text{ }7500\text{ }\ldots \text{ }\left( ii \right)$

Hence, the net tax (under GST) paid by the shopkeeper to the State Government

$=\text{ }\left( ii \right)\text{ }\text{ }\left( i \right)$

$=\text{ }6%\text{ }of\text{ }Rs.\text{ }75x$

Given that the shopkeeper paid 90 as tax (under GST) to the State Government

So,

$6%\text{ }of\text{ }Rs.\text{ }75x\text{ }=\text{ }Rs.\text{ }90$

$\left( 6\text{ }\times \text{ }75 \right)x/100\text{ }=\text{ }90$

or,

$x\text{ }=\text{ }\left( 90\text{ }x\text{ }100 \right)/\left( 6\text{ }x\text{ }75 \right)$

or,

$x\text{ }=\text{ }20$

Thus, the discount is 20%

(i) Now, the amount of discount

$=\text{ }20%\text{ }of\text{ }7500$

$=\text{ }\left( 20/100 \right)\text{ }x\text{ }Rs.\text{ }7500$

or,

$=\text{ }Rs.\text{ }1500$

(ii) The price inclusive of tax (under GST) of the article which the shopkeeper paid

to the wholesaler = (marked price – discount) + GST

GST = 12% of (marked price – discount)

$=\text{ }\left( 12/100 \right)\text{ }x\text{ }Rs.\text{ }\left( 7500\text{ }\text{ }1500 \right)$

$=\text{ }0.12\text{ }x\text{ }Rs.\text{ }6000$

or,

$=\text{ }Rs.\text{ }720$

Therefore, the price inclusive of tax (under GST) of the article which the shopkeeper paid to the wholesaler

$~=\text{ }Rs.\text{ }6000\text{ }+\text{ }Rs.\text{ }720$

$=\text{ }Rs.\text{ }6720$

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