Question

The following enb·ies are from the saving bank account passbook of Mr. Ratnesh. If the rate of interest paid by the bank is 4. 5°/op.a. calculated at the end of March and September, find the balance in his account at the end of the year.

Date	Particulars	Withdrawls	Deposits	Balance
03.01.2006	By B/F			17900.00
09.01.2006	To Cash	3700.00		14200.00
06.02.2006	To Cheque	2450.00		11750.00
21.02.2006	By Cash		15600.00	27350.00
17.03.2006	By Cash		9850.00	37200.00
31.03.2006	By Interest
06.06.2006	To Cheque	4100.00
22.08.2006	To Cash	1500.00
05.09.2006	By Cheque		17300.00
09.09.2006	To Cash	6300.00
30.09.2006	By Interest
04.12.2006	To Cash	3000.00
11.12.2006	By Cheque		11760.00

Answer 1

Months	Minimum balance between 10th day and the last day
Jan	14200
Feb	11750
MAr	27350

Total principal at the end of March =Rs 53,300 

Interest at the end of March

= `(53300 xx 4.5 xx 1)/(100 xx 12) = 199.87`

Thus the interest is Rs 200 Now entering the interest in pass book we get the remaining balances as below: 

Date	Particulars	Withdrawls	Deposits	Balance
03.01.2006	By B/F			17900.00
09.01.2006	To Cash	3700.00		14200.00
06.02.2006	To Cheque	2450.00		11750.00
21.02.2006	By Cash		15600.00	27350.00
17.03.2006	By Cash		9850.00	37200.00
31.03.2006	By Interest		200.00	37400.00
06.06.2006	To Cheque	4100.00		33300.00
22.08.2006	To Cash	1500.00		31800.00
05.09.2006	By Cheque		17300.00	49100.00
09.09.2006	To Cash	6300.00		42800.00
30.09.2006	By Interest		810.00	43610.00
04.12.2006	To Cash	3000.00		40610.00
11.12.2006	By Cheque		11760.00	52370.00

* Interest calculated below.

For calculating interest at the end of September. 

Months	Minimum balance between 10th day and the last day
Apr	37400
May	37400
June	33300
July	33300
Aug	31800
Sep	42800

Total principal at the end of September= Rs 216000 

Interest = `(216000 xx 4.5 xx 1)/(100 xx 12) = 810`

Now entering the interest in the pass book above, we get the balance Rs 52,370 at the end o year.