Himanshu withdrew Rs.2,500 at the end of each month. The partnership deed provides for charging of interest on drawings @ 12% p.a. Calculate interest on Himanshu's drawings for the year ended March 31, 2017.
Himanshu withdrew Rs.2,500 at the end of each month. The partnership deed provides for charging of interest on drawings @ 12% p.a. Calculate interest on Himanshu's drawings for the year ended March 31, 2017.
Solution
When equal amounts are withdrawn at the end of each month, interest is calculated using a specific time period adjustment.
Given:
- Monthly drawings = Rs. 2,500
- Number of months = 12
- Rate of interest = 12% p.a.
Total Drawings for the year:
Total Drawings = Rs. 2,500 × 12 = Rs. 30,000
Calculating Interest:
For withdrawals made at the end of each month, the average period formula is:
Average Period = months
where = number of months = 12
Average Period = = = months = 5.5 months
Converting to years: years
Interest on Drawings = Total Drawings × Rate × Time
= Rs. 30,000 × ×
= Rs. 30,000 × ×
= Rs. 30,000 ×
= Rs. 1,650
The formula simplifies because when drawings are at month-end, the first withdrawal (end of month 1) earns interest for 11 months, the second for 10 months, and so on, with the last withdrawal earning no interest.
Correct Option: 2
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