Question

the price of a tv set inclusive of sales tax of 9% is Rs13407.find marked price. if sales tax is increased to 13% how much more does the customer has to pay for the tv

Answer 1

109% of x = 13407.
therefore, x = 12,300.
so, market price is 12300.
cost after increased sales tax= 113% of 12300.
113/100* 12300 = Rs.13899

Answer 2

The Marked price, if sales tax is increased to 13% is Rs.13,200

The customer has to pay 492 rupees more for the T.V. set.

Given:

The "price of the TV" including sales tax 9% = Rs.13407

Increased sales tax = 13%

To find:

Marked price and money customer need to pay.

Solution:

Let us assume the "marked price" of the T.V as Rs.P

Then, the Sales price = Marked price + 9% of marked price

$13407=P+P\left(\frac{9}{100}\right)$

$13407=P\left(1+\frac{9}{100}\right)$

$13407=P\left(\frac{100+9}{100}\right)$

$13407=P\left(\frac{109}{100}\right)$

$P=\frac{13407 \times 100}{109}$

$\therefore P=Rs.12,300$

If the sales tax rate is increased to 13%,

$\Rightarrow \text { Sales price }=12300+13 \ \% \ of \ sales \ price$

$=12300+\left(\frac{13}{100}\right) \times 12300$

$=12300+1599$

$\Rightarrow \text { Sales price }=Rs.13899$

So, the "customer has to pay",

$\Rightarrow Rs.13899-Rs.13407$

$\Rightarrow Rs.492$