Daily average from an annual total: In the year 2011, Shantanu received a total pocket allowance of ₹ 3832.5. Find his allowance per day.
Aptitude
Decimal Fraction
Difficulty: Easy
Choose an option
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A₹ 9.5
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B₹ 10.5
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C₹ 12.5
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D₹ 11.5
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E₹ 8.5
Answer
Correct Answer: ₹ 10.5
Explanation
Introduction / Context:Average per day over a calendar year is a straightforward division problem, provided we use the correct number of days for that year.
Given Data / Assumptions:
- Total allowance in 2011 = ₹ 3832.5
- Year 2011 has 365 days.
- Allowance was spread evenly for the purpose of computing average per day.
Concept / Approach:Average per day = total amount / number of days. Since 2011 is not a leap year, divide by 365.
Step-by-Step Solution:
Compute 3832.5 / 365Note that 365 × 10.5 = 3832.5 exactlyTherefore average per day = ₹ 10.5Verification / Alternative check:Long division or calculator check confirms that 3832.5 divided by 365 equals 10.5 without remainder.
Why Other Options Are Wrong:₹ 9.5, ₹ 11.5, and ₹ 12.5 correspond to totals that do not match ₹ 3832.5 when multiplied by 365.
Common Pitfalls:Assuming a leap year and dividing by 366, or rounding mid calculation which would introduce error.
Final Answer:₹ 10.5