Question

Salim bought an article for Rs.$784$ which included GST of $12\% $. What was the price of the article before GST was added?

Answer 1

Hint: In this problem, we are going to find the original price of the book without adding GST. Using the given data we can find the original price of the book before adding the tax. First, we want to know about GST, the original price, and the selling price. Then we can solve the given problem easily.

Complete step-by-step solution:
In this problem, we have to find the original price of the book.
The selling price of the book is given.
First, understand the question of what is given.
Salim is the customer who bought the article from the store.
He bought an article at rupees seven hundred and eighty-four.
That is, the selling price of the book is $784$.
Next the selling price is included with twelve percent of GST.
The term GST is defined as the Goods Service Tax.
And now we want to find the original price of the article without adding the GST.
Therefore let us take, original price$ = x$
Now we get the original price $ + $GST$ = $ selling price.
Already we know the values of the above term.
Original price $ = $ Rs. $x$
GST$ = $$12\% $
Selling price $ = $ Rs.$784$
Now apply the values in the above equation.
We get, $x + 12\% x = 784$
Now we can write this as,
$x + \dfrac{{12}}{{100}}x = 784$
Now take the least common multiple for the equation we get
$\dfrac{{100x + 12x}}{{100}} = 784$
Now take the common terms, we get
\[x\left( {\dfrac{{112}}{{100}}} \right) = 784\]
Now simplify this, we get
\[x\left( {112} \right) = 784 \times 100\]
Now we get,
\[x = \dfrac{{784 \times 100}}{{112}}\]
\[x = 7 \times 100\]
Therefore we get the original price is \[700\]
Hence the original price of the article is \[700\].

Note: The term GST is defined as Goods and Service Tax. This is an indirect tax. This indirect tax is used in India for goods and services. The term percentage is defined as that something expressed as the part of the hundred. Or share the whole part. Original price is not included in any tax and discounts.