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Short Answer Questions · Q6

Q.If a fixed amount is withdrawn on the first day of every quarter, for what period the interest on total amount withdrawn will be calculated?

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When a fixed amount is withdrawn on the first day of every quarter, interest on the total amount withdrawn is calculated for an average period of 7.5 months (or 7 months and 15 days).

Concept: Why the period is 7.5 months

Interest on drawings is charged to compensate the firm for the partner’s use of capital that should have remained in the business. The period for which interest is calculated depends on when the money was taken out — not just how much was taken.

When a fixed sum is withdrawn at the beginning of each quarter, the first withdrawal stays out of the business for the longest time, and the last withdrawal for the shortest. To avoid calculating interest separately for each withdrawal, we use an average period — the midpoint of all withdrawal dates.

For quarterly withdrawals at the start of each quarter, the dates are:

  • 1st April (or 1st of the first quarter)
  • 1st July
  • 1st October
  • 1st January

The first withdrawal is outstanding for 12 months, the second for 9 months, the third for 6 months, and the fourth for 3 months. The average of these periods is:

(12 + 9 + 6 + 3) / 4 = 30 / 4 = 7.5 months

This 7.5 months is the standard period used in all Indian board exams (CBSE, ISC, state boards) for this pattern.

Tip

A quick shortcut: For quarterly withdrawals at the beginning of each quarter, the average period is always 7.5 months. For withdrawals at the end of each quarter, it would be 4.5 months. Memorise these two — they appear frequently. …

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