More Questions from Percentage

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?

Aptitude Percentage Difficulty: Medium
Choose an option
  • A
    Rs. 19.40
  • B
    Rs. 19.70
  • C
    Rs. 20.00
  • D
    Rs. 24.70

Answer

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 portionTax = 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 totalAmount 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 AnswerCost of tax-free items = Rs. 19.70.

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