Advertisements
Advertisements
प्रश्न
Mr. Britto deposits a certain sum of money each month in a Recurring Deposit Account of a bank. It the rate of interest is of 8% per annum and Mr. Britto gets Rs. 8,088 from the bank after 3 years, find the value of his monthly instalment.
Advertisements
उत्तर
Let the value of monthly instalment be Rs. x
Maturity value (M.V.) = Rs. 8,088
Period = n = 3 years = 36 months
Rate of interest = r = 8% p.a.
∴ `S.I. = P xx (n(n+1))/(2xx12) xx r/100`
= `x xx (36 xx 37)/24 xx 8/100`
= `444/100x`
= 4.44x
Total amount of maturity = 36x + 4.44x
`\implies` 8088 = 40.44x
`\implies` x = 200
Thus, the value of monthly instalment is Rs. 200.
APPEARS IN
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.
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.?
Manu opened a savings bank account in the state bank of India on 3rd sept, 12 with Rs. 2,700. He withdrew Rs. 1,200 from the bank on 8th sept, 12 and deposited Rs. 500 on 17th sept, 12. If he did not make any further deposits or withdrawals during this month; find the amount on which he would receive interest for sept, 12.
John had a savings bank account in a bank. In the months of april, 97 and May, 97 He had the following entries in his passbook.
| Date | Particulars | Withdrawals (In Rs) | Deposits (In Rs) | Balance (In Rs) |
| April 1 | By Balance | 4,600.00 | ||
| April 7 | By cash | 1,200.00 | 5,800.00 | |
| April 24 | To Cheque | 800.00 | 5,000.00 | |
| May 16 | By Cheque | 2,000.00 | 7,000.00 | |
| May 29 | To Cash | 1,500.00 | 5,500.00 |
Find the amounts on which John will get interest for the months of April, 97 and May 97.
A page from the passbook of Mrs. Rama Bhalla is given below:
| Date | Particulars | Withdrawals (In Rs) | Deposits (In Rs) | Balance (In Rs) |
| January 1 | B/F | 2,000.00 | ||
| January 9 | By Cash | 200.00 | 2,200.00 | |
| February 10 | To Cheque | 500.00 | 1,700.00 | |
| February 24 | By Cheque | 300.00 | 2,000.00 | |
| July 29 | To Cheque | 200.00 | 1,800.00 | |
| November 7 | By Cash | 300.00 | 2,100.00 | |
| December 8 | By Cash | 200.00 | 2,300.00 |
Calculate the interest to Mrs. Bhalla for the period from January 2004 to December 2004, at the rate of 5% 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.
Suresh has joined a factory which pays wages by cheque only. He opens a S.B. account on Feb. 1, and his passbook has the following entries Upto 1st April of the year.
| Date | Particulars | Withdrawals(₹) | Deposits(₹) | Balance(₹) |
| Feb. 1 | By cash | - | 50·00 | 50·00 |
| Feb. 2 | By salary | - | 1,000·00 | 1,050·00 |
| Feb. 4 | To withdrawn slip | 200·00 | - | 850·00 |
| Feb. 15 | By overtime allowance | - | 300·00 | 1,150·00 |
| Feb. 24 | To Aslam | 100·00 | - | 1,050·00 |
| March 1 | By salary | - | 1,000·00 | 2,050·00 |
| March 7 | To cheque no. 212 | 500·00 | - | 1,550·00 |
| March 21 | To cheque no. 213 | 700·00 | - | 850·00 |
| March 27 | To self | 400·00 | - | 450·00 |
| Apr. 1 | By salary | - | 1,000·00 | 1,450·00 |
| Apr. 11 | By interest | - | - | - |
He closes the account on 11th April. Complete the entries for 11th April at the rate of 5%
Mr. R.K. Nair gets Rs 6,455 at the end of one year at the rate of 14% per annum in a recurring deposit account. Find the monthly installment.
