Question

The price of a T.V. set inclusive of tax of 9% is Rs.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. ?

Answer 1

Sale price of T.V.set = Rs. 13,407
Rate of sales tax = Rs. 9%
Let marked price of T.V = x
Then sale price
= $x+\frac{x\times 9}{100}=\frac{100x+9x}{100}=\frac{109x}{100}$
$\therefore \frac{109x}{100}=Rs.13,407$
$x=\frac{13407\times 100}{109}=Rs.12,300$
$\therefore$ Marked Price = Rs. 12,300
In second case, Sales Tax = 13%
$\therefore$ Amount of sales tax = Rs. $12300\times \frac{13}{100}$
= Rs. 1,599
$\therefore$ Sale price = Rs. 12,300 + 1,599 = Rs. 13,899
Difference between the two sales price
= Rs. 13,899 - Rs. 13,407 = Rs. 492