Question

A computer mechanic in Delhi charges repairing costs from five different persons A, B, C, D, and E with certain discounts.
The repairing costs and the corresponding discounts are as given below:

Name of the Persons	A	B	C	D	E
Repairing cost (in Rs.)	5500	6250	4800	7200	3500
Discount%	30	40	30	20	40

If the rate of GST is 18%, find the total money (including GST) received by the mechanic.

Answer 1

Hint: We are given the repairing cost and discounts. First, we will find the charges of all person after giving the discount. But the mechanic will have to pay 18% GST to the government, so he will take that money from persons. So, we will find the GST money using the formula $=\text{repairing cost }\times \dfrac{GST\%}{100}$ and the formula for finding the cost after discount is $=\text{repairing cost }\times \dfrac{\text{discount}\%}{100}$.

Complete step-by-step answer:
Let us get started with the question. Now, first we will write the total money he should receive, which is (total repairing cost), given by
$5500+6250+4800+7200+3500=27250...........\left( 1 \right)$
We are given that the repairing cost for A = Rs. 5500 and the discount is = 30%. So, we get the discount as,
$\begin{align}
  & =5500\times \dfrac{30}{100} \\
 & =Rs.1650 \\
\end{align}$
Also given that the repairing cost for B = Rs. 6250 and the discount is = 40%, we have the discount for B as,
$\begin{align}
  & =6250\times \dfrac{40}{100} \\
 & =Rs.2500 \\
\end{align}$
The repairing cost for C = Rs. 4800 and the discount is = 30%. So, we get the discount for C as,
$\begin{align}
  & =4800\times \dfrac{30}{100} \\
 & =480\times 3 \\
 & =Rs.1440 \\
\end{align}$
We have the repairing cost for D = Rs. 7200 and the discount is = 20%, so, the discount for D is
$\begin{align}
  & =7200\times \dfrac{20}{100} \\
 & =Rs.1440 \\
\end{align}$
Next, we have the repairing cost for E = Rs. 3500 and the discount is = 40%. So, the discount for E is as below,
$\begin{align}
  & =3500\times \dfrac{40}{100} \\
 & =Rs.1400 \\
\end{align}$
So, we will get the total discount he had given to all five persons by adding all discounts as
$\begin{align}
  & 1650+2500+1440+1440+1400 \\
 & =Rs.8430............\left( 2 \right) \\
\end{align}$
And we know that he had taken the GST charges from the five people. We will have to find the GST money which is 18% of total repairing cost.
$\begin{align}
  & \text{GST = Total repairing cost }\times \dfrac{18}{100} \\
 & =27250\times \dfrac{18}{100} \\
 & =4905 \\
\end{align}$
So, the total money received by mechanic = total repairing cost – total discount + total GST charges
$\begin{align}
  & =27250-8430+4905 \\
 & =Rs.23725 \\
\end{align}$
So, we got the total money received by mechanic = Rs. 23,725.

Note: Students can make mistakes in finding the GST. They may use (total repairing cost - discount) instead of total repairing cost which can lead to wrong answers.
$\begin{align}
  & GST=\left( 27250-8430 \right)\times \dfrac{18}{100} \\
 & =3387.60 \\
\end{align}$
And they may add the discount to the repairing cost which can also lead to wrong answers. Students should have to understand that after giving a discount, the repairing cost will be less than the actual repairing cost.