Question:

If the price of a book including 10% G.S.T. is ₹880, then the original price of the book without G.S.T. is:

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To find the original price before G.S.T., divide the final price by \( 1 + \frac{\text{G.S.T. rate}}{100} \). For a 10% G.S.T., divide by 1.10.
Updated On: Jun 9, 2025
  • ₹968
  • ₹792
  • ₹960
  • ₹800
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The Correct Option is D

Solution and Explanation

We are given:
Price including G.S.T. = ₹880
G.S.T. rate = 10%
Let the original price of the book (excluding G.S.T.) be \( x \). Since the price includes G.S.T., the price with G.S.T. is: \[ \text{Price including G.S.T.} = x + 0.10x = 1.10x \] Step 1: Set up the equation.
We know that the price including G.S.T. is ₹880, so: \[ 1.10x = 880 \]

Step 2: Solve for \( x \).
To find \( x \), divide both sides of the equation by 1.10: $x = \frac{880}{1.10} = \text{Rs } 800$ Thus, the original price of the book (without G.S.T.) is ₹800.
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