An article was purchased for 1239 including GST of 18%. Find the price of the article before GST was added?
Solution and Explanation
Let the initial price of the article before including GST be denoted by x.
The price of the article including GST is given by the formula: Price of article including GST=Rs.1239
GST (Goods and Service Tax) is 18% of x, expressed as \(\frac{18×x}{100}=0.18×x.\)
Therefore, the equation representing the relationship between the price before GST (x) and the price after including GST is: x+(0.18×x)=1239
Solving for 1.18x=1239
Thus, the initial price before including GST (x) is:
\(x=\frac{1239}{1.18}=\) Rs. 1050
Hence, the price of the article before GST was added is Rs. 1050.
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