Question

The price of a T.V. set inclusive of tax of 9%
is 13,407. Find its marked price. If tax is
increased to 13%, how much more does the
customer has to pay for the T.V. set?
please help and explain in an easy way...​

Answer 1

Question :-

The price of a T.V. set inclusive of Sales Tax of 9% is Rs. 13,407. Find its marked price. If Sales Tax is increased to 13%, how much more does the customer has to pay for the T.V.?

let the marked price is Rs. x

∴ x+9 % of x = 13407

⇒x + $\frac{10}{9}$ = 13407

⇒$\frac{100}{109x}$ = 13407

⇒x = $\frac{13407×100}{109x}$

⇒x = Rs.12300

If the sales tax is increased 13% then

If the sales tax is increased 13% thenThe price of the T.V=12300+13% of 12300.

⇒12300 + $\frac{13}{100}$ × 12300.

⇒12300 + 1599 = Rs.13899

∴ Customer pay = 13899−13407 = Rs.492.