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Question
Amit deposited Rs 150 per month in a bank for 8 months under the Recurring Deposit Scheme. What will be the maturity value of his deposits, if the rate of interest is 8% per annum and interest is calculated at the end of every month?
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Solution
Installment per month(P) = Rs 150
Number of months(n) = 8
Rate of interest(r) = 8% p.a.
`:. "S.I" = "P" xx ("n"("n" + 1))/(2 xx 12) xx "r"/100`
`= 150 xx (8(8 + 1))/(2 xx 12) xx 8/100`
`= 150 xx 72/24 xx 8/100 = "Rs " 36`
The amount that Amit will get at the time of maturity
= Rs (150 × 8) + Rs 36
= Rs 1,200 + Rs 36
= Rs 1,236
RELATED QUESTIONS
A page from the Savings Bank Account of Mr Prateek is given below:
| Date | Particulars | Withdrawal (In Rs.) |
Deposit (In Rs.) |
Balances (In Rs.) |
| January 1st, 2006 | B/F | - | - | 1270 |
| January 7th, 2006 | By Cheque | - | 2310 | 3580 |
| March 9th, 2006 | To Self | 2000 | - | 1580 |
| June 26th, 2006 | By Cash | - | 6200 | 7780 |
| June 10th 2006 | To Cheque | 4500 | - | 3280 |
| July 15th, 2006 | By Clearing | - | 2630 | 5910 |
| October 18th, 2006 | To Cheque | 530 | - | 5380 |
| October 27th, 2006 | To Self | 2690 | - | 2690 |
| November 3rd, 2006 | By Cash | - | 1500 | 4190 |
| December 6th, 2006 | To Cheque | 950 | - | 3240 |
| December 23rd, 2006 | By Transfer | - | 2920 | 6260 |
If he receives Rs. 198 as interest on 1st January 2007, find the rate of interest paid by the bank.
Mrs. Mathew opened a Recurring Deposit Account in a certain bank and deposited ₹ 640 per month for 4 ½ years. Find the maturity value of this account, if the bank pays interest at the rate of 12% per year.
Ashish deposits a certain sum of money every month is a Recurring Deposit Account for a period of 12 months. If the bank pays interest at the rate of 11% p.a. and Ashish gets ₹ 12,715 as the maturity value of this account, what sum of money did money did he pay every month?
Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits Rs. 140 per month for 4 years. If he gets Rs. 8,092 on maturity, find the rate of interest given by the bank.
Mrs. Geeta deposited Rs. 350 per month in a bank for 1 year and 3 months under the Recurring Deposit Scheme. If the maturity value of her deposits is Rs. 5,565; find the rate of interest per annum.
Shrikant deposited 85,000 rupees for `2 1/2` years at 7 p.c.p.a. in a savings bank account. What is the total interest he received at the end of the period?
At a certain rate of interest, the interest after 4 years on 5000 rupees principal is 1200 rupees. What would be the interest of 15000 rupees at the same rate of interest for the same period?
Javed deposited 12000 rupees at 9 p.c.p.a. in a bank for some years, and withdrew his interest every year. At the end of the period, he had received altogether 17,400 rupees. For how many years had he deposited his money?
Lataben borrowed some money from a bank at a rate of 10 p.c.p.a. interest for `2 1/2` years to start a cottage industry. If she paid 10250 rupees as total interest, how much money had she borrowed?
Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| 4200 | 7% | 3 years | ...... | ...... |
