Question

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

Answer 1

Step 1: Given data:

Price of TV including GST$=\mathrm{Rs}.13,407$

Initial rate of GST$=9\%$

New rate of GST$=13\%$

Step 2: Calculate the marked price:

Let the marked price be $\mathrm{Rs}.x$.

According to question;

$\begin{array}{rcl}x+\left(9\%\mathrm{of}x\right)& =& 13,407\\ & \Rightarrow & x+\left(\frac{9}{100}\times x\right)=13,407\\ & \Rightarrow & \frac{109}{100}x=13,407\\ & \Rightarrow & x=13,407\times \frac{100}{109}\\ & \Rightarrow & x=12,300\\ \therefore x& =& \mathrm{Rs}.12,300\end{array}$

Step 3: Calculate extra money paid by customer:

The new price for TV is computed as,

$\begin{array}{rcl}\mathrm{New}\mathrm{price}& =& \mathrm{Marked}\mathrm{price}+\left(13\%\mathrm{of}\mathrm{Marked}\mathrm{price}\right)\\ \mathrm{New}\mathrm{price}& =& 12,300+\left(12,300\times \frac{13}{100}\right)\\ \mathrm{New}\mathrm{price}& =& 12,300+1,599\\ \therefore \mathrm{New}\mathrm{price}& =& \mathrm{Rs}.13,899\end{array}$

Calculate the extra money paid by the customer.

$\begin{array}{rcl}\mathrm{Extra}\mathrm{amount}\mathrm{paid}& =& 13,899-13,407\\ \therefore \mathrm{Extra}\mathrm{amount}\mathrm{paid}& =& \mathrm{Rs}.492\end{array}$

Hence, the marked price of the T.V. is Rs. 12,300 and the customer has to pay an extra amount of Rs. 492 if the GST increases to 13%.