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प्रश्न
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.
उत्तर
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.
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संबंधित प्रश्न
Given below are the entries in a Saving Bank A/c passbook.
| Date | Particulars | Withdrawals | Deposit | Balance |
| Feb8 | B/F | - | - | Rs. 8500 |
| Feb 18 | To self | Rs. 4000 | - | |
| April 12 | By cash | - | Rs. 2230 | |
| June 15 | To self | Rs. 5000 | - | |
| July 8 | By cash | - | Rs. 6000 |
Calculate the interest for six months from February to July at 6% p.a.
David opened a Recurring Deposit Account in a bank and deposited Rs. 300 per month for two years. If he received Rs. 7,725 at the time of maturity, find the rate of interest per annum.
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 - |
- - Rs. 2,230 - Rs. 6,000 |
Rs. 8,500 4500 6730 1730 7730 |
Calculate the interest for 6 months from February to July at 6% per annum.
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.
A page from the passbook of Mr. Rohit is given below. The interest accrued for the period January to December 2006 at a certain rate of interest per annum is Rs. 377.40. without taking the principal as the nearest multiple of Rs. 10, calculate the rate:
| Date | Particulars | Debit (Rs) | Credit (Rs) | Balance (Rs) |
| 2006 | ||||
| Jan 1 | Balance B/F | 7,500.00 | ||
| March 7 | By Cheque | 1,875.00 | ||
| March 10 | By Cash | 625.00 | ||
| July 17 | To self | 3,250.00 | ||
| Oct 5 | By Cheque | 2,160.00 | ||
| Dec 19 | To Cheque | 1,340.00 |
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.
Mohan saves Rs. 25 per month from his pocket allowance and puts this saving every month in a bank recurring deposit scheme for a period of 72 months at 5.25%. What amount does he get on maturity?
Given below are the entries in a Savings Bank A/c passbook:
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| Feb 8 | B/F | - | - | ₹ 8,500 |
| Feb 18 | To self | ₹ 4,000 | - | - |
| April 12 | By cash | - | ₹ 2,230 | - |
| June 15 | To self | ₹ 5,000 | - | - |
| July 8 | By cash | - | ₹ 6,000 | - |
Calculate the interest for six months from February to July at 6 % p.a.
Mr. Chaudhary opened a Saving’s Bank Account at State Bank of India on 1st April 2007.
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| 1st April 2007 | By Cash | - | 8,550·00 | 8,550·00 |
| 12th April 2007 | To Self | 1,200·00 | - | 7,350·00 |
| 24th April 2007 | By cash | - | 4,550·00 | 11,900·00 |
| 8th July 2007 | By Cheque | - | 1,550·00 | 13,400·00 |
| 10th Sept. 2007 | By Cheque | - | 3,500·00 | 16,900·00 |
| 17th Sept. 2007 | To Cheque | 2,500·00 | - | 14,400·00 |
| 11th Oct. 2007 | By Cash | - | 800·00 | 15,200·00 |
| 6th Jan. 2008 | To Self | 2,000·00 | - | 13,200·00 |
| 9th March 2008 | By Cheque | - | 950·00 | 14,150·00 |
If the bank pays interest at the rate of 5% per annum, find the interest paid on 1st April, 2008. Give your answer correct to the nearest rupee.
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.
