Recover the base amount from a small percent value: If 0.5% of A equals 85 paise, find A in rupees.
Aptitude
Percentage
Difficulty: Easy
Choose an option
Answer
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