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प्रश्न
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.
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उत्तर
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
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संबंधित प्रश्न
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 |
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