Question

(b) The marked price of an article is 9000. 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 18%. If the shopkeeper pays * 162 as GST to the Central Government, find
(i) the amount of discount.
(ii) the price inclusive of GST of the article which the shopkeeper paid to the wholesaler.
(iii) the amount that the consumer pays for the article.
​

Answer 1

(i) The amount of discount is 900.

(ii) The price inclusive of GST of the article which the shopkeeper paid to the wholesaler is 9558.

(iii) The amount that the consumer pays for the article is 10620.

Step-by-step explanation:

Given:

The marked price of an article is 9000. 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 18%. If the shopkeeper pays 162 as GST to the Central Government.

Now, to find (i) the amount of discount., (ii) the price inclusive of GST of the article which the shopkeeper paid to the wholesaler, (iii) the amount that the consumer pays for the article.

Let the amount shopkeeper buys the article from a wholesaler at some  discount be $x.$

The marked price of an article = 9000.

Rate of GST = 18%.

The shopkeeper pays = 162.

So, to get the amount shopkeeper buys the article from a wholesaler at some  discount:

$18\%\ of\ (9000-x)=162$

$\frac{18}{100}\times (9000-x)=162$

$0.18\times (9000-x)=162$

$9000-x=\frac{162}{0.18}$

$9000-x=900$

$9000-900=x$

$8100=x\\\x=8100.$

Thus, the amount shopkeeper buys the article from a wholesaler at some  discount = 8100.

Now, to get the amount of discount by subtracting the amount shopkeeper buys the article from a wholesaler at some  discount from the marked price:

$9000-8100\\=900.$

So, the amount of discount is 900.

Now, to get the price inclusive of GST of the article which the shopkeeper paid to the wholesaler:

$8100+18\%\ of\ 8100$

$=8100+\frac{18}{100} \times 8100\\\\=8100+0.18\times 8100\\\\=8100+1458\\\\=9558.$

Thus, the price inclusive of GST of the article which the shopkeeper paid to the wholesaler is 9558.

Now, to get the amount that the consumer pays for the article:

As, given shopkeeper sells it to a consumer at the marked price.

$\\9000+18\%\ of\ 9000\\\\=9000+\frac{18}{100}\times 9000\\\\=9000+0.18\times 9000\\\\=9000+1620\\\\=10620.$

Hence, the amount that the consumer pays for the article is 10620.

Therefore,

(i) The amount of discount is 900.

(ii) The price inclusive of GST of the article which the shopkeeper paid to the wholesaler is 9558.

(iii) The amount that the consumer pays for the article is 10620.