Skip to content
Question

Q.Ravi, Mohan and Vinod were partners in a firm sharing profits and losses in the ratio of 2 : 2 : 1. The partnership deed provided that interest on partners' drawings will be charged @ 12% p.a. Starting from 1st July, 2023, Mohan withdrew ₹ 20,000 every month for his personal use. For the year ended 31st March, 2024 interest on Mohan's drawings will be charged for __________ months. (A) 6 1/2 (B) 6 (C) 5 1/2 (D) 5

CBSECBSE Class XII Board 2025MCQ· 1mImportance★★★★★
✓ Free question

Interest on Mohan's drawings is charged for 5 months. He drew Rs 20,000 at the beginning of each month for 9 months (1 July 2023 to 1 March 2024), and the average period for equal beginning-of-month drawings over 9 months is (9 + 1) / 2 = 5 months.

Concept First: Why the Period Matters

Interest on drawings is a charge on the partner - it reduces his share of profit. Mohan draws Rs 20,000 on the 1st of every month starting 1 July 2023, and the year ends 31 March 2024. You cannot charge interest for the full year on each withdrawal, because each rupee was in Mohan's hands only from the date he drew it until the year-end. The earlier the drawing, the longer the money was out of the firm.

For equal drawings made at the beginning of each month, interest is charged on the average period:

  • Beginning of each month, full year -> (12 + 1) / 2 = 6.5 months
  • End of each month, full year -> (12 - 1) / 2 = 5.5 months
  • Middle of each month, full year -> 6 months

But here the drawings run for only 9 months (July to March), not the full year, so the average period must be recomputed for 9 drawings.

The Correct Calculation

Mohan draws Rs 20,000 on the 1st of each month from July 2023 to March 2024 - that is 9 drawings, total Rs 1,80,000. For each drawing, count the months from the date of drawing to 31 March 2024 (the first drawing is outstanding 9 months, the last 1 month):

Month of DrawingAmount (Rs)Months to 31 Mar 2024Product (Rs-months)
1 Jul 202320,00091,80,000
1 Aug 202320,00081,60,000
1 Sep 202320,00071,40,000
1 Oct 202320,00061,20,000
1 Nov 202320,00051,00,000
1 Dec 202320,000480,000
1 Jan 202420,000360,000
1 Feb 202420,000240,000
1 Mar 202420,000120,000
Total1,80,0009,00,000

Average period = Total product / Total drawings = 9,00,000 / 1,80,000 = 5 months.

Tip

Shortcut for equal beginning-of-month drawings made for only part of the year: average period = (months of first drawing + months of last drawing) / 2 = (9 + 1) / 2 = 5 months.

Watch out

Do not apply the full-year 6.5-month figure - the drawings ran only 9 months (July to March), so the average period is 5 months, not 6.5.

✓Final answer

Interest on Mohan's drawings will be charged for 5 months - option (D).

Unlock everything free for 14 days

  • Full step-by-step solutions
  • Concept-first explanations
  • Methods, shortcuts & mistakes
  • PYQ mapping + timed mock tests

Full access for 14 days. No credit card required.