Calculating the Pre-GST Price of a Laptop (Age-appropriate math, 10% GST)

Find the price before GST when the total cost including GST is 1595 and GST is 10%. Step-by-step solution explained clearly.

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Problem

A laptop costs 1595 including GST. If GST is 10%, what was the price before GST?

Step-by-step solution

  1. Understand the relationship: Total price = Pre-GST price + GST on that price.
  2. Let the pre-GST price be P.
  3. GST amount = 10% of P = 0.10 P.
  4. Total = P + 0.10P = 1.10P.
  5. Set equal to total:

    1.10P = 1595

  6. Solve for P:

    P = 1595 / 1.10 = 1450

  7. Answer = 1450 (price before GST).

Check

GST on 1450 is 0.10 × 1450 = 145.00. 1450 + 145 = 1595, which matches the total.

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