Question

Karan purchases an article for Rs. 5400 which includes 10% rebate on the marked price and 20% sales tax on the remaining price. Find the marked price of the article.

Answer 1

Solution :

Let marked price of the article be x, rebate = 10%, S.T. = 20%. 
Selling Price = x – 10% of x = 9x/10. 
S.T. 20% of 9x/10 = 9x/50, 
Price including S.T. = 9x/10 + 9x/50 = 54x/50. 
As per question, 54x/50 = 5400 => x = 5000, 
Hence, marked price = Rs5,000.

Answer 2

The marked price of the article is Rs.5000.

Given:

Purchase an article for Rs.5400.

10% rebate and 20% sales tax.

To Find:

The marked price of the article.

Solution:

Here, we have the price of the purchase $Rs.5400$

let's suppose that the marked price is $x$.

now, the rebate on the marked price is $10\%$

so, $S.P=x-\frac{10}{100}$

           $=\frac{90x}{100}=\frac{9x}{10}$

we have given, the sales tax $=20\%$

now, sales tax $=(\frac{20}{100}\times \frac{9x}{10})$

                        $=\frac{9x}{50}$

here, by including the selling price and sales tax $=\frac{9x}{10}+\frac{9x}{50}$

we get,

$=\frac{45x +9x}{50}$

$=\frac{54x}{50}$

now, we get

$\frac{54x}{50}=5400$

here,

$x=\frac{5400\times 50}{54} \\x=Rs.5000$

Hence, the marked price of the article is Rs.5000.