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Question
Katrina opened a recurring deposit account with a Nationalised Bank for a period of 2 years. If the bank pays interest at the rate 6% per annum and the monthly instalment is Rs. 1,000, find the:
- Interest earned in 2 years.
- Matured value.
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Solution
Given,
P = Rs. 1000
n = 2 years = 24 months
r = 6%
1. Interest = `P xx (n(n + 1))/2 xx r/(12 xx 100)`
= `1000 xx (24 xx 25)/2 xx 6/(12 xx 100)`
= 1500
Thus, the interest earned in 2 years is Rs. 1500.
2. Sum deposited in two years 24 × 1000 = 24,000
Maturity value = Total sum deposited in two years + Interest
= 24000 + 1500
= 25500
Thus, the maturity value is Rs. 25,500.
RELATED QUESTIONS
Ritu has a Recurring Deposit Account in a bank and deposits Rs. 80 per month for 18 months. Find the rate of interest paid by the bank if the maturity value of the account is Rs. 1,554.
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2) The amount of maturity.
Given below are the entries in a saving Bank A/C pass book:
| Date | Particulars | Withdrawals | Deposits | Balance |
| Feb 8 Feb 18 April 12 June 15 July 8 |
B/F To self By Cash To Self By Cash |
- Rs. 4,000 - Rs. 5,000 - |
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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 | ||
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| 28.11.12 | To Cash | 1,570.00 |
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| Date | Particulars | Debit (In Rs) | Credit (In Rs) | Balance (In Rs) |
| Jan 3 | By cash | 5,000.00 | 5,000.00 | |
| Feb 13 | To self | 500.00 | ||
| March 24 | By cheque | 2,000.00 | ||
| March 31 | By Interest | |||
| May 20 | By cash | 800.00 | ||
| July 7 | To Cheque | 1,400.00 | ||
| July 18 | By cash | 1,600.00 | ||
| Sept 15 | To Cheque | 3,200.00 | ||
| Sept 26 | By Cheque | 2,350.00 |
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(b) Find the maturity amount.
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Deposits (₹) |
Balance (₹) |
| 01-01-05 | B/F | - | - | 1,200·00 |
| 07-01-05 | By cash | 500·00 | 1,700·00 | |
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| 10-02-05 | By cash | - | 800·00 | 2,100·00 |
| 25-09-05 | By cheque | 500·00 | - | 1,600·00 |
| 20-09-05 | By cash | - | 700·00 | 2,300·00 |
| 21-11-05 | To cheque | 600·00 | - | 1,700·00 |
| 05-12-05 | By cash | - | 300·00 | 2,000·00 |
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