Advertisements
Advertisements
Question
Each of A and B both opened a recurring deposit accounts in a bank. If A deposited Rs. 1,200 per month for 3 years and B deposited Rs. 1,500 per month for 2 ½ years; find, on maturity, who will get more amount and by how much? The rate of interest paid by the bank is 10% per annum.
Advertisements
Solution
For A
Installment per month (P) = Rs. 1,200
Number of months (n) = 36
Rate of interest (r) = 10% p.a.
∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`
= `1200 xx (36(36 + 1))/(2 xx 12) xx 10/100`
= `1200 xx 1332/24 xx 10/100`
= Rs. 6,660
The amount that A will get at the time of maturity
= Rs. (1,200 × 36) + Rs. 6,660
= Rs. 43,200 + Rs. 6,660
= Rs. 49,860
For B
Instalment per month (P) = Rs. 1,500
Number of months (n) = 30
Rate of interest (r) = 10% p.a.
∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`
= `1500 xx (30(30 + 1))/(2 xx 12) xx 10/100`
= `1500 xx 930/24 xx 10/100`
= Rs. 5,812.50
The amount that B will get at the time of maturity
= Rs. (1,500 × 30) + Rs. 5,812.50
= Rs. 45,000 + Rs. 5,812.50
= Rs. 50,812.50
Difference between both amounts = Rs. 50,812.50 – Rs. 49,860
= Rs. 952.50
Then B will get more money than A by Rs. 952.50
APPEARS IN
RELATED QUESTIONS
A page from the ‘Savings Bank’ account of Priyanka is given below:
| Date | Particulars |
Amount (Rs.) |
Amount deposited (Rs.) |
Balance (Rs.) |
| 03/04/2006 | B/F | 4000.00 | ||
| 05/04/2006 | By cash | 2000.00 | 6000.00 | |
| 18/04/2006 | By cheque | 6000.00 | 12000.00 | |
| 25/05/2006 | By cheque | 5000.00 | 7000.00 | |
| 30/05/2006 | By cash | 3000.00 | 10000.00 | |
| 20/07/2006 | By self | 4000.00 | 6000.00 | |
| 10/09/2006 | By cash | 2000.00 | 8000.00 | |
| 19/09/2006 | To cheque | 1000.00 | 7000.00 |
If the interest earned by Priyanka for the period ending September 2006 is Rs. 175, the find the rate of interest.
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.
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?
If Rihanna deposits 1500 rupees in the school fund at 9 p.c.p.a for 2 years, what is the total amount she will get?
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 |
| 8000 | 5% | ...... | 800 | ...... |
Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| ...... | 5% | ...... | 6000 | 18000 |
Nasruddin and Mahesh invested Rs 40,000 and Rs 60,000 respectively to start a business. They made a profit of 30%. How much profit did each of them make?
