# Ex.8.2 Q11 Comparing Quantities Solution - NCERT Maths Class 8

Go back to  'Ex.8.2'

## Question

An article was purchased for $$\rm{Rs}\, 1239$$ including GST of $$18\%$$. Find the price of the article before GST was added?

## Text Solution

What is known?

Price of article including GST $$= \rm{Rs}\, 1239$$

GST $$= 18\%$$

What is unknown?

Price of the article before GST was added.

Reasoning:

GST is $$18\%$$, initial price (before GST was added) $$+$$ GST is $$\rm{Rs}\, 1239.$$

Assuming initial price as $$x$$, and using above, $$x$$ can be calculated.

Steps:

Let the price of the article before GST was added be $$x$$

GST $$\%$$ $$=$$ $$18\%$$
GST $$=$$ $$18\%$$ of initial price of article
Then,

initial price of article $$+$$ GST $$= 1239$$

\begin{align}x + 18\% \times x &= 1239\\x + \frac{{18}}{{100}}x &= 1239\\\frac{{{118}}}{{{100}}} \times x &={1239}\\x&= \frac{{{1239 \times 100}}}{{{118}}}\\x& = 1050\end{align}

Price of the article before GST was added is $$\rm{Rs}\, 1050$$

Learn from the best math teachers and top your exams

• Live one on one classroom and doubt clearing
• Practice worksheets in and after class for conceptual clarity
• Personalized curriculum to keep up with school