Daily average from annual amount: In the year 2011, Shantanu receives a total pocket allowance of ₹ 3832.5. What is his allowance per day for that year?

Difficulty: Easy

Correct Answer: ₹ 10.5

Explanation:


Introduction / Context:
Average-per-day questions require dividing a total amount by the number of days in the period. Here, 2011 is a non-leap year with 365 days. We find the daily pocket allowance by a straightforward division of the total annual amount by 365.


Given Data / Assumptions:

  • Year = 2011 (365 days).
  • Total allowance = ₹ 3832.5.
  • Daily allowance = Total / 365.


Concept / Approach:
Arithmetic average equals the total amount divided by count. Knowing the correct day count is crucial. Using 365 days, compute the division exactly or by splitting the total into convenient parts (e.g., 3650 + 182.5) to see the result quickly.


Step-by-Step Solution:

Compute 3832.5 ÷ 365.Note 365 × 10 = 3650; remainder = 182.5.Since 365 × 0.5 = 182.5, the remainder corresponds to 0.5 more day-equivalents.Therefore the quotient is 10.5. Hence daily allowance = ₹ 10.5.


Verification / Alternative check:

Multiply back: ₹ 10.5 × 365 = ₹ 3832.5, confirming the calculation.


Why Other Options Are Wrong:

  • ₹ 9.5, ₹ 11.5, ₹ 12.5: Do not multiply to the annual total; they reflect incorrect day counts or divisions.


Common Pitfalls:

  • Using 366 days for a non-leap year.
  • Rounding mid-calculation instead of exact division.


Final Answer:

₹ 10.5

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