A draws Rs. 1000 per month on the last day of every month. If the rate...
There is a formula for calculating interest on drawings at the end of every month.
= amount * 12 * rate * (11/24)
= 1000 * 12 * (5/100) * (11/24)
= Rs. 275
A draws Rs. 1000 per month on the last day of every month. If the rate...
Understanding the Problem
In this scenario, A draws Rs. 1000 at the end of each month, and we need to calculate the total interest for the accounting year ending on 31-12-1985, with an interest rate of 5% per annum.
Monthly Withdrawals
- A withdraws Rs. 1000 every month.
- The total number of withdrawals in one year is 12.
Interest Calculation Method
To calculate the interest on each withdrawal, we need to consider the time each amount is deposited until the end of the year:
- Interest is calculated from the time of withdrawal until the end of the year.
- Since A withdraws at the end of each month, the first withdrawal will earn interest for 12 months, the second for 11 months, and so forth.
Interest for Each Withdrawal
- 1st Withdrawal (January): 1000 * 5/100 * 12/12 = Rs. 50
- 2nd Withdrawal (February): 1000 * 5/100 * 11/12 = Rs. 45.83
- 3rd Withdrawal (March): 1000 * 5/100 * 10/12 = Rs. 41.67
- 4th Withdrawal (April): 1000 * 5/100 * 9/12 = Rs. 37.50
- 5th Withdrawal (May): 1000 * 5/100 * 8/12 = Rs. 33.33
- 6th Withdrawal (June): 1000 * 5/100 * 7/12 = Rs. 29.17
- 7th Withdrawal (July): 1000 * 5/100 * 6/12 = Rs. 25.00
- 8th Withdrawal (August): 1000 * 5/100 * 5/12 = Rs. 20.83
- 9th Withdrawal (September): 1000 * 5/100 * 4/12 = Rs. 16.67
- 10th Withdrawal (October): 1000 * 5/100 * 3/12 = Rs. 12.50
- 11th Withdrawal (November): 1000 * 5/100 * 2/12 = Rs. 8.33
- 12th Withdrawal (December): 1000 * 5/100 * 1/12 = Rs. 4.17
Total Interest Calculation
Now, adding all these amounts:
- Total Interest = 50 + 45.83 + 41.67 + 37.50 + 33.33 + 29.17 + 25 + 20.83 + 16.67 + 12.50 + 8.33 + 4.17 = Rs. 275
Conclusion
The total interest chargeable from A for the accounting year ending on 31-12-1985 is Rs. 275, which confirms that the correct answer is option 'B'.