Aashish withdrew Rs. 10,000 per month from the firm for his personal use during the year ending March 31, 2017. What will be the amount of interest if the amount is withdrawn at the beginning of each month and rate of interest on drawings is 8% per annum?
Aashish withdrew Rs. 10,000 per month from the firm for his personal use during the year ending March 31, 2017. What will be the amount of interest if the amount is withdrawn at the beginning of each month and rate of interest on drawings is 8% per annum?
Solution
When equal amounts are withdrawn at the beginning of each month, interest needs to be calculated using the average time period.
Given Information:
- Monthly withdrawal = Rs. 10,000
- Number of months = 12
- Rate of interest = 8% per annum
- Timing = Beginning of each month
Total Drawings = Rs. 10,000 × 12 = Rs. 1,20,000
For drawings made at the beginning of each month, the average time period is calculated as:
Average Period = months, where n = number of months
Average Period = = = 6.5 months
Interest on Drawings = Total Drawings × Rate × Time (in years)
Interest = Rs. 1,20,000 × ×
Interest = Rs. 1,20,000 × 0.08 ×
Interest = Rs. 9,600 ×
Interest = Rs.
Interest = Rs. 5,200
The formula uses (n+1)/2 instead of n/2 because when amounts are withdrawn at the beginning of each month, they remain with the partner for one additional month compared to withdrawals made at the end of each month.
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