Question

An article is marked at Rs. 4,500 and the rate of sales-tax on it is 6%. A trader buys this article at some discount and sells it to a customer at the marked price. If the trader pays Rs. 81 as VAT, find:
(i) how much per cent discount does the trader get ?
(ii) the total money paid by the trader, including tax, to buy the article.

• A. $30\%;Rs.3,339$
• B. $10\%;Rs.2,339$
• C. $15\%;Rs.4,339$
• D. None o these

Answer 1

The correct option is A $30\%;Rs.3,339$

Marked price of the article $=Rs.4500$

Rate of sales tax $=6\%$

VAT paid by the trader $=Rs.81$

C.P for the customer=Rs.4500

Sales tax paid=$4500\times \frac{6}{100}=Rs.270$

So sales tax paid by the trader$=270-81=Rs.189$

C.P for the trader$=\frac{4500\times 189}{270}=Rs.3150$

(1)

Amount of discount=$4500-3150=Rs.1350$

Rate of discount$=\frac{1350\times 100}{4500}=30$%

(2)

Total amount paid by the trader$=3150+6\%of3150$

$\Rightarrow 3150+\frac{6}{100}\times 3150$

$\Rightarrow 3150+189=Rs.3339$