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Question
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.
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Solution
Deposit per month = ₹ 600
Rate of interest = 10% p.a.
Period (n) = 5 years 60 months.
Total principal for one month
= `₹600 xx ("n"("n" + 1))/(2)`
= `₹600 xx (60(60 + 1))/(2)`
= `₹(600 xx 60 xx 61)/(2)`
= ₹ 1098000
Interest
= `"prt"/(100)`
= `(1098000 xx 10 xx 1)/(100 xx 12)`
= ₹ 9150
∴ Amount of maturity
= ₹ 600 × 60 + ₹ 9150
= ₹ 36000 + ₹ 9150
= ₹ 45150.
RELATED QUESTIONS
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| Date | Particulars | Amount Withdrawn (In Rs) |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 page from the passbook of Asha is given below:
| Date | Particulars | Amount Withdrawn (Dr) Rs P | Amount Deposits (Cr) Rs. P | Balance Rs. P |
| Jan 5 March 7 April 2 April 10 Oct , 6 Dec, 8 |
Balance B/F To Cheque By Cheque By Cheque By Cheque By Cash |
1,200.00
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2,300.00
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|
3,750.00
|
Complete the passbook and then calculate the interest for the period January to December 5% per annum.
A page from the savings bank account of Mr. Prateek if given below.
| Date | Particulars | Withdrawals (In Rs) | Deposits (In Rs) | Balance (In Rs) |
| January 1st 2006 | B/F | - | - | 1,270 |
| January 7th 2006 | By Cheque | - | 2,310 | 3,580 |
| March 9th 2006 | To self | 2,000 | - | 1,580 |
| March 26th 2006 | By cash | - | 6,200 | 7,780 |
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If h receives Rs. 198 as interest on 1st January, 2007, Find the rate of interest paid by the bank.
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(b) Find the total interest she will earn after 2 years
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(a) Find the total interest she will earn at the end of the period.
(b) Find the maturity value of her deposits.
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A page from the Savings Bank Account of Mr. Prateek is given below:
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| January 1st, 2006 | B/F | - | - | 1,270 |
| January 7th, 2006 | By Cheque | - | 2,310 | 3,580 |
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| October 27th, 2006 | To Self | 2,690 | - | 2,690 |
| November 3rd, 2006 | By Cash | - | 1,500 | 4,190 |
| December 6th, 2006 | To Cheque | 950 | - | 3,240 |
| December 23rd, 2006 | By Transfer | - | 2,920 | 6,160 |
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| Date | Particulars | Amount Withdrawals(₹) |
Amount Deposits(₹) | Amount Balance(₹) |
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| March 3, 2007 | By Cash | - | 5,000·00 | 9,500·00 |
| May 25, 2007 | By Cash | - | 2,000·00 | 11,500·000 |
| June 7, 2007 | By Cash | - | 3,500·00 | 15,000·00 |
| Aug 29, 2007 | To Cheque | 1,000·00 | - | 14,000·00 |
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