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Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

Difficulty: Medium

Correct Answer: Rs. 19.70

Explanation:

Given Data

  • Total bill paid = Rs. 25
  • Sales tax paid on taxable items = Rs. 0.30
  • Tax rate = 6% on taxable purchases
  • Find: cost of tax-free items

Step 1: Recover pre-tax amount for the taxable portion
Tax = Rate × (Taxable value)0.30 = 0.06 × (Taxable value)Taxable value (pre-tax) = 0.30 ÷ 0.06 = Rs. 5.00


Step 2: Separate the components from the total
Amount paid towards taxable items (incl. tax) = 5.00 + 0.30 = 5.30Amount left for tax-free items = Total − 5.30 = 25.00 − 5.30 = Rs. 19.70


Checks & Notes

  • Tax applies only to the taxable subset; tax-free items do not attract the 6% charge.
  • Always back out the pre-tax value from the tax amount using Tax = Rate × Value.

Final Answer
Cost of tax-free items = Rs. 19.70.

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