Question

Veena bought a sofa set marked at Rs45000. If the discount is 6% and GST is 12.5%, find the amount Veena pays for the sofa set.​

Answer 1

Hint: Firstly, we have to find the discount using the formula $\text{Discount}=\dfrac{\text{Discount}\%}{100}\times \text{Marked price}$ . Then, we have to find the selling price which is the difference between market price and discount. Find the GST using the formula $GST=\dfrac{GST\%}{100}\times SP$ .The amount Veena pays for the sofa set can be found by adding the selling price and the GST.

Complete step by step answer:
We are given the marked price of a sofa $=\text{Rs }45000$ .
We are also given that the discount rate $=6\%$
We know that the formula for discount percentage is given by
\[\text{Discount}\%=\dfrac{\text{Discount}}{\text{Marked price}}\times 100\]
Therefore, we can find discount as
$\text{Discount}=\dfrac{\text{Discount}\%}{100}\times \text{Marked price}$
Let us substitute the values in the above formula.
$\begin{align}
  & \Rightarrow \text{Discount}=\dfrac{6}{100}\times 45000 \\
 & \Rightarrow \text{Discount}=\text{Rs }2700 \\
\end{align}$
Now, let us find the selling price (SP), which is the difference of marked price and discount.
$\begin{align}
  & \Rightarrow SP=\text{Marked price}-\text{Discount} \\
 & \Rightarrow SP=45000-2700 \\
 & \Rightarrow SP=42300 \\
\end{align}$
We know that GST is given by
$\Rightarrow GST=\dfrac{GST\%}{100}\times SP$
We are given that GST% $=12.5\%$ . Let us substitute this value in the above equation.
$\begin{align}
  & \Rightarrow GST=\dfrac{12.5}{100}\times 42300 \\
 & \Rightarrow GST=\dfrac{12.5}{100}\times 42300 \\
 & \Rightarrow GST=\text{Rs }5287.5 \\
\end{align}$
Therefore, amount Veena pays for the sofa set can be found by adding selling price and the GST.
 \[\begin{align}
  & \Rightarrow \text{Amount Veena pays}=SP+GST \\
 & \Rightarrow \text{Amount Veena pays}=42300+5287.5 \\
 & \Rightarrow \text{Amount Veena pays}=\text{Rs }47587.5 \\
\end{align}\]
Hence, the amount Veena pays for the sofa set is RS 47587.5.

Note: Students must never miss to write the units at the end of each calculation. They have a chance of making mistake by writing the formula for discount as $\text{Discount}=\dfrac{\text{Discount}\%}{\text{Marked price}}\times 100$ .They also have a chance of making mistake by writing the formula for GST as $GST=\dfrac{GST\%}{SP}\times 100$ .