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
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.