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Match List-I with List-II

List-IList-II
Interest on DrawingsTime (Month)
(A). When the amount is withdrawn at the beginning of each month.(I). 6 months
(B). When the amount is withdrawn at the end of each month.(II). 6.5 months.
(C). When the amount is withdrawn at the middle of each month.(III). 5.5 months.
(D). When the amount is withdrawn at the end of each quarter.(IV). 4.5 months.

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 3

When equal amounts are drawn periodically throughout the year, interest is calculated on the average period for which the total drawings remain with the partner.

For monthly drawings over 12 months:

(A) Withdrawn at the beginning of each month:

The first withdrawal (January) stays for 12 months, second (February) for 11 months, and so on till the last (December) for 1 month.

Average period = 12+11+10+...+2+112\frac{12 + 11 + 10 + ... + 2 + 1}{12} = 7812\frac{78}{12} = 6.5 months

(B) Withdrawn at the end of each month:

The first withdrawal (end of January) stays for 11 months, second (end of February) for 10 months, and so on till the last (end of December) for 0 months.

Average period = 11+10+9+...+1+012\frac{11 + 10 + 9 + ... + 1 + 0}{12} = 6612\frac{66}{12} = 5.5 months

(C) Withdrawn at the middle of each month:

This is the average of beginning and end of month withdrawals.

Average period = 6.5+5.52\frac{6.5 + 5.5}{2} = 6 months


For quarterly drawings:

(D) Withdrawn at the end of each quarter:

There are 4 quarters. Withdrawals at the end of March, June, September, and December stay for 9, 6, 3, and 0 months respectively.

Average period = 9+6+3+04\frac{9 + 6 + 3 + 0}{4} = 184\frac{18}{4} = 4.5 months


Matching:

  • (A) → (II) 6.5 months
  • (B) → (III) 5.5 months
  • (C) → (I) 6 months
  • (D) → (IV) 4.5 months

Correct Answer: Option 3

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