Recover the base amount from a small percent value: If 0.5% of A equals 85 paise, find A in rupees.

Difficulty: Easy

Correct Answer: Rs. 170

Explanation:


Introduction / Context:
The value is given in paise while the options are in rupees. We must convert units correctly and then invert the percentage operation to find the base amount.


Given Data / Assumptions:

  • 0.5% of A = 85 paise.
  • 100 paise = 1 rupee ⇒ 85 paise = Rs. 0.85.


Concept / Approach:
Translate 0.5% to a decimal (0.005). Then solve 0.005 * A = 0.85 for A by dividing both sides by 0.005.


Step-by-Step Solution:

0.005 * A = 0.85.A = 0.85 / 0.005.A = 170.


Verification / Alternative check:
Check: 0.5% of 170 = 0.005 * 170 = 0.85 rupees = 85 paise — consistent.


Why Other Options Are Wrong:

  • Rs. 17 produces 0.085 rupees (8.5 paise), not 85 paise.
  • Rs. 1.70 and Rs. 4.25 are far too small.
  • Rs. 850 would give 4.25 rupees (425 paise), overshooting the target.


Common Pitfalls:
Forgetting to convert paise to rupees or misplacing the decimal when converting 0.5% into 0.005.


Final Answer:
Rs. 170

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