मराठी

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

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प्रश्न

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  
बेरीज
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उत्तर

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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पाठ 3: Banking - Exercise 3.1 [पृष्ठ ४६]

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फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 3 Banking
Exercise 3.1 | Q 7 | पृष्ठ ४६

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संबंधित प्रश्‍न

Shahrukh opened a Recurring Deposit Account in a bank and deposited  Rs 800 per month for 1 1/2 years. If he received Rs 15084 at the time of maturity, Find the rate of interest per annum.


A page from a passbook of savings bank account is given below:

Date Particulars Amount Withdrawn
(In Rs)
Amount Deposits
(In Rs)
Balance
(In Rs)
09.08.1999
11.08.1999
05.10.1999
10.10.1999
27.11.1999
29.11.1999
By Cash
By Cheque
To Cheque
By Cash
By Cheque
By Cash
-
-
12,000
-
5,000
-
10,000
5,000
-
17,000
-
3,000
10,000
15,000
3,000
20,000
15,000
18,000

The account is closed on 2nd Jan, 2000. Find the amount received, if the rate of interest is 5%


A savings bank account was opened by Mrs. Roy on 3.7.12 and closed on 31.01.13. The entries in the passbook of Mrs. Roy were as given below:

Date Particulars Debit (In Rs) Credit (In Rs) Balance (In Rs)
3.7.12 By cash   690.00  
15.7.12 By cash   1,153.00  
27.8.12 By Cheque   2,468.00  
30.8.12 To cash 946.00    
12.9.12 To Cheque 1,000.00    
20.11.12 By Cheque   3,000.00  
26.11.12 By cash   750.00  
28.11.12 To Cash 1,570.00    

(i) By finding the balance on different dates of entries calculate the interest earned by Mrs. Roy, For the period she had this savings bank account, at the rate of 6% p.a.
(ii) Also, calculate the interest when the principal for every month is taken as the nearest multiple of 10.


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(i) 01-01-2007; B/F Rs. 8,764/-
(ii) 13-03-2007; deposited Rs. 6,482
(iii) 22-06-2007; withdrew Rs. 4,369
(iv) 09-08-2007; withdrew Rs. 1,333
(v) 24-11-2007; Deposited Rs. 2,158
Calculate the interest the accrured upto 31st December, 2007: if the rate of interest is 5% compounded yearly and the principle for every month is taken as the nearest multiple of Rs.10.
Taking the rate of interest as 6% per annum, find the amount that Mr. verma gets on closing the account.


Mr. Banerjee opens a recurring deposit account for Rs 3,000 per month at 9% simple interest pa. On maturity, he gets Rs. 1,70,460. Find the period for which he continued with the account.


The entries in the passbook of a Saving Bank Account holder are as follows:

Date Particulars Withdrawals(₹) Deposits(₹) Balance(₹)
Feb. 12, 1986 By cash - 2,000·00 2,000·00
March 10 By cash - 1,100·00 3,100·00
April 20 To cheque no. 231 800·00 - 2,300·00
April 25 By cash - 700·00 3,000·00
May 11 To cheque no. 232 700·00 - 2,300·00
July 2 By cash - 400·00 2,700·00
July 8 By cash - 500·00 3,200·00
Aug. 10 By cash - 600·00 3,800·00
Aug. 28 To cheque no. 233 200·00 - 3,600·00

Rate of interest is 5% per annum. Calculate the interest due if the account is closed on:
(i) September 29, 1986
(ii) October 1, 1986.


Mr. Dhruv deposits Rs 600 per month in a recurring deposit account for 5 years at the rate of 10% per annum (simple interest). Find the amount he will receive at the time of maturity.


Rajiv Bhardwaj has a recurring deposit account in a bank of Rs 600 per month. If the bank pays simple interest of 7% p.a. and he gets Rs 15450 as maturity amount, find the total time for which the account was held.


₹ 900 is deposited every month in a recurring deposit account at 10% rate of interest, the interest earned in 8 months is ______.


A certain money is deposited in a recurring deposit account for 15 months. If the interest earned for this deposit is one-fifth of the monthly instalment; the rate of interest is ______.


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