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. ?

• A. Rs. 18,300; Rs. 900.
• B. Rs. 16,300; Rs. 720.
• C. Rs. 14,300; Rs. 630.
• D. Rs. 12,300; Rs. 492.

Answer 1

The correct option is D Rs. 12,300; Rs. 492.

let the marked price is $Rs.x$

$\therefore x+9\%$ of $x=13407$

$\Rightarrow x+\frac{9}{100}=13407$

$\Rightarrow \frac{109x}{100}=13407$

$\Rightarrow x=\frac{13407\times 100}{109}$

$\Rightarrow x=Rs.12300$

If the sales tax is increased 13% then

The price of the T.V$=12300+13\%$ of $12300$

$\Rightarrow 12300+\frac{13}{100}\times 12300$

$\Rightarrow 12300+1599=Rs.13899$

$\therefore$ customer pay =$13899-13407=Rs.492$