Advertisements
Advertisements
प्रश्न
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.
उत्तर
Given that cumulative deposit per month =Rs 3000, Period= t Months, R=9°/o, Maturity amount= Rs. 1,70,460
Money deposited= Monthly value x No ofMonths=3000 x t= Rs 3000t
Total Principal for 1 Month = `(3000 xx ("t")("t" + 1))/2`
= 1500t2 + 1500 t
Interest= Principal for One month x RI ( 12 x 100)
..... ( 1)
Putting Values in (1), we get
170460 - 3000 t = `((1500 "t"^2 + 1500 "t") xx 9)/1200`
170460 - 3000 t = `(45 "t"^2 + 45 "t")/4`
45t2 + 12045 t - 681840 = 0
45t2 - 2160 t + 14205 t - 681840 = 0
45t (t- 48) + 14205 (t- 48) = 0
(t - 48)(45t + 14205) = 0
t = 48 , t = `- 14205/45`
The number of months cannot be negative.
Hence, t = 48 months = 4 years
APPEARS IN
संबंधित प्रश्न
Mr. Richard has a recurring deposit account in a bank for 3 years at 7.5% p.a. simple interest. If he gets Rs. 8325 interest at the time of maturity, find
- the monthly deposit
- the maturity value.
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.
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.
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 man holds a savings bank account in the union bank of India. A page of his passbook shows the following entries:
| Date | Particulars | Withdrawals (Rs) | Deposits (Rs) | Balance (Rs) |
| May 1 | B/F | 3,200.00 | ||
| May 6 | By Cheque | 500.00 | 3,700.00 | |
| May 17 | By Cheque | 800.00 | 4,500.00 | |
| June 4 | By Cash | 1,300.00 | 5,800.00 | |
| June 9 | To Cheque | 1,650.00 | 4,150.00 |
Calculate the rate of interest per annum if the total interest earned for the months of May and June is Rs. 39.25`
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?
Mrs. Kapoor opened a Savings Bank Account in State Bank of India on 9th January 2008. Her passbook entries for the year 2008 are given below:
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| Jan. 9, 2008 | By cash | - | 10,000 | 10,000 |
| Feb. 12, 2008 | By cash | - | 15,500 | 25,500 |
| April 6, 2008 | To Cheque | 3,500 | - | 22,000 |
| April 30, 2008 | To Self | 2,000 | - | 20,000 |
| July 16, 2008 | By Cheque | - | 6,500 | 26,500 |
| August 4, 2008 | To Self | 5,500 | - | 21,000 |
| August 20, 2008 | To Cheque | 1,200 | - | 19,800 |
| Dec. 12, 2008 | By Cash | - | 1,700 | 21,500 |
Mrs. Kapoor closes the account on 31st December, 2008. If the bank pays interest at 4% per annum, find the interest Mrs. Kapoor receives on closing the account. Give your answer correct to the nearest rupee.
Given the following details, calculate the simple interest at the rate of 6% per annum up to June, 30:
| Date | Debit (in ₹) | Credit (in ₹) | Balance (in ₹) |
| January 1 | - | 24,000·00 | 24,000·00 |
| January 20 | 5,000·00 | - | 19,000·00 |
| January 29 | - | 10,000·00 | 29,000·00 |
| March 15 | - | 8,000·00 | 37,000·00 |
| April 3 | - | 7,653·00 | 44,653·00 |
| May 6 | 3,040·00 | - | 41,613·00 |
| May 8 | - | 5,087·00 | 46,700·00 |
Mr. Sharma deposited Rs 500 every month in a cumulative deposit account for 2 years. If the bank pays interest at the rate of 7% per annum, then the amount he gets on maturity is
Suresh has a recurring deposit account in a bank. He deposits ₹ 2000 per month and the bank pays interest at the rate of 8% per annum. If he gets ₹ 1040 as interest at the time of maturity, find in years total time for which the account was held.
