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The Following Enb·Ies Are from the Saving Bank Account Passbook of Mr. Ratnesh.

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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  
Sum
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Solution

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. 

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Chapter 2: Banking - Exercise 3.1 [Page 46]

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Frank Mathematics Part 2 [English] Class 10 ICSE
Chapter 2 Banking
Exercise 3.1 | Q 7 | Page 46

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