Question

The marked price of two articles A and B together is Rs. 6000. The sales tax on article A is 5% and that on article B is 12%. If on selling both the articles, the total GST collected is Rs. 552, find the marked price of each of the articles A and B.

Answer 1

Step 1: Given data

Marked price of articles A and B together = Rs.6,000

Sale tax on article A = 5%

Sale tax on article B = 12%

Total GST collected on both articles = Rs. 552

Step 2: Calculate the marked price

Let the marked price of article A be $\mathrm{Rs}.x$ and article B be $\mathrm{Rs}.y$.

Since the marked price of articles A and B together is Rs. 6,000, then,

$\Rightarrow x+y=6000...\left(1\right)$

Also, the total GST collected on selling both articles is Rs. 552. Then,

$$\begin{gathered} \left(5\%\mathrm{of}x\right)+\left(12\%\mathrm{of}y\right)=552 \\ \Rightarrow \left(x\times \frac{5}{100}\right)+\left(y\times \frac{12}{100}\right)=552 \\ \Rightarrow \frac{5x+12y}{100}=552 \\ \Rightarrow 5x+12y=55,200...\left(2\right) \end{gathered}$$

Step 3: Solve both equations

Multiply equation (1) by 5 and subtract it from equation (2),

$\begin{array}{rcl}\left(5x+12y\right)-\left(5x+5y\right)& =& 55,200-30,000\\ 7y& =& 25,200\\ y& =& \frac{25,200}{7}\\ \therefore y& =& \mathrm{Rs}.3,600\end{array}$

Substitute value of y in equation (1),

$\begin{array}{rcl}x& =& 6,000-3,600\\ \therefore x& =& \mathrm{Rs}.2,400\end{array}$

Hence, the marked price of article A is $\mathrm{Rs}.2400$ and the marked price of article B is $\mathrm{Rs}.3600$.