Advertisements
Advertisements
Question
Mr. Bajaj needs Rs. 30,000 after 2 years. What least money (in multiple of 5) must he deposit every month in a recurring deposit account to get required money at the end of 2 years, the rate of interest being 8% p.a.?
Advertisements
Solution
Let installment per month = Rs. P
Number of months (n) = 24
Rate of interest = 8% p.a
∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`
= `P xx (24(24 + 1))/(2 xx 12) xx 8/100`
= `P xx 600/24 xx 8/100`
= Rs. 2P
Maturity value = Rs. (P × 24) + Rs. 2P = Rs. 26P
Given maturity value = Rs. 30,000
Then 26P = Rs. 30,000
`\implies` P = Rs. `30000/26`
= Rs. 1153.84
= Rs. 1155 ...(Multiple of 5)
RELATED QUESTIONS
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.
Priyanka has a recurring deposit account of Rs. 1000 per month at 10% per annum. If she gets Rs. 5550 as interest at the time of maturity, find the total time for which the account was held.
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| Date | Particulars | Amount Withdrawn (Dr) Rs P | Amount Deposits (Cr) Rs.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
950.00 |
2,300.00
1,700.00
|
3,750.00
|
Complete the passbook and then calculate the interest for the period January to December 5% per annum.
The entires in a savings bank passbook are as given below:
| Date | Particulars | Particulars Withdrawals (In Rs) |
Deposits (In Rs) | Balance (In Rs) |
| 01.01.03 01.02.03 12.02.03 05.04.03 15.04.03 09.05.03 04.06.03 |
B/F By cash To cheque By Cash To cheque By cash By Cash |
5,000.00 4,250.00 |
11,500.00
1,500 1,500 |
14,000.00 25.500.00 20,500.00 24,250.00 20,000.00 21,500.00 23,000.00 |
Calculate the interest for six months (January to June) at 4% per annum on the minimum balance on or after the tenth day of each month
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`
Mr. Verma opened a savings bank account with the state bank of India on 5th April 2007 with Rs. 8,500. For the financial year 2007-2008, the other transactions with the bank are given below:
(i) 15-05.2007; deposited Rs. 3,700
(ii) 27-07-2007; withdrew Rs. 2,400
(iii) 06-09-2007; withdrew Rs. 1,600
(iv) 18-12-2007; deposited Rs. 4,500
(v) 29-01-2008; Deposited Rs. 1,900
(vi) 23-03-2008; account closed.
Taking the rate of interest as 6% per annum, find the amount that Mr. Verma gets on closing the account.
Mr. Dhoni has an account in the Union Bank of India. The following entries are from his passbook:
| Date | Particulars | Withdrawals (in ₹) |
Deposits (in ₹) |
Balance (in ₹) |
| Jan 3, 07 | B/F | - | - | 2,642·00 |
| Jan 16 | To self | 640.00 | - | 2,002·00 |
| March 5 | By cash | - | 850·00 | 2,852·00 |
| April 10 | To self | 1130.00 | - | 1,722·00 |
| April 10 | By cheque | - | 650·00 | 2372.00 |
| June 15 | By cash | 577.00 | - | 1,795·00 |
Calculate the interest from January 2007 to June 2007 at a rate of 4% per annum.
Mr. Ashok has an account in the Central Bank of India. The following entries are from his passbook:
| Date | Particulars | Withdrawals (₹) |
Deposits (₹) |
Balance (₹) |
| 01-01-05 | B/F | - | - | 1,200·00 |
| 07-01-05 | By cash | 500·00 | 1,700·00 | |
| 17-01-05 | To cheque | 400·00 | - | 1,300·00 |
| 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 |
If Mr. Ashok gets Rs. 83.75 as interest at the end of the year where the interest is compounded annually, calculate the rate of interest paid by the bank in his Savings Bank Account on 31st December 2005.
Shahrukh opened a Recurring Deposit Account in a bank and deposited Rs. 800 per month for `1 1/2` years. If he received Rs. 15,084 at the time of maturity, find the rate of interest per annum.
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.
