Rahul went to a shop and bought things worth Rs. 25 out of which 30 paise went on sales tax on taxable purchases. If the tax rate…

Quantitative Aptitude ·Previously asked in JKSSB Sub Inspector (Executive) 2017

View the full solved paper: JKSSB Sub Inspector (Executive) 2017

Question

Rahul went to a shop 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 total amount that Rahul paid for the taxable items?

  1. A. Rs. 5
  2. B. Rs. 5.30 (Correct answer)
  3. C. Rs. 19.70
  4. D. Rs. 20

Correct Answer

Option B — Rs. 5.30

Detailed Solution & Explanation

The correct answer is Rs. 5.30.

Key Points

  • Sales tax = 30 paise = Rs. 0.30. Tax rate = 6%.
  • Taxable purchase amount = 0.30 ÷ 0.06 = Rs. 5. Total paid for taxable items = Rs. 5 + Rs. 0.30 = Rs. 5.30. The remaining Rs. 25 − Rs. 5.30 = Rs. 19.70 was for tax-free items.

Additional Information

  • Work backwards from the tax: if tax is 6% of the taxable amount, then taxable amount = tax ÷ 0.06 = 0.30 ÷ 0.06 = ₹5.
  • The question asks for the total paid on taxable items, which is the pre-tax amount plus the tax: 5 + 0.30 = ₹5.30. Stopping at ₹5 is the intended trap, and it is offered as option A.
  • The balance, 25 − 5.30 = ₹19.70, was spent on tax-free goods — offered as option C to catch a misread of the question.
  • Keep units consistent from the start: 100 paise = ₹1, so 30 paise must become ₹0.30 before any division.

Topics covered: JKPSI JKSSB 2017 Quantitative Aptitude Tax Arithmetic