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प्रश्न
Shilpa has a 4 year recurring deposit account in Bank of Maharashtra and deposits Rs 800 per month. If she gets Rs 48200 at the time of maturity, find
- the rate of simple interest.
- the total interest earned by Shilpa.
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उत्तर
Deposit per month (P) = Rs 800
Amount of maturity = Rs 48200
Period (n) = 4 years = 48 months
Let rate of interest be R% p.a.
Total principal for one month
= `(P(n)(n + 1))/(2)`
= `(800 xx 48 xx (48 + 1))/(2)`
= `₹(800 xx 48 xx 49)/(2)`
= ₹ 940800
Total deposit:
= ₹ 800 × 48
= ₹ 38400
and amount of maturity
= ₹ 48200
∴ Interest earned
= ₹ 48200 − ₹ 38400
= ₹ 9800
(i) Rate of interest
= `("S.I" xx 100)/("P" xx "T")`
= `(9800 xx 100 xx 12)/(940800)`
= 12.5%
(ii) Total interest earned by Shilpa
= ₹ 9800
संबंधित प्रश्न
Pramod deposits Rs. 600 per month in a Recurring Deposit Account for 4 years. If the rate of interest is 8% per year; calculate the maturity value of his account.
Deepa has a 4-year recurring deposit account in a bank and deposits Rs 1,800 per month. If she gets Rs 1,08,450 at the time of maturity, find the rate of interest.
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| 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 | |
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| May 16 | By Cheque | 2,000.00 | 7,000.00 | |
| May 29 | To Cash | 1,500.00 | 5,500.00 |
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| January 1 | B/F | 2,000.00 | ||
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| February 24 | By Cheque | 300.00 | 2,000.00 | |
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| December 8 | By Cash | 200.00 | 2,300.00 |
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| Date | Particulars | Amount Withdrawn (Dr) Rs P | Amount Deposits (Cr) Rs. P | Balance Rs. P |
| Feb 13 | By Cash | 500.00 | 500.00 | |
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| May 10 | To cheque | 240.00 | 2.035.00 | |
| May 22 | To cash | 430.00 | 1,605.00 | |
| June 19 | By cash | 780.00 | 2,385.00 | |
| July 26 | To cash | 980.00 | 1,405.00 |
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| Jan. 1 | By Balance | - | - | 2,100·00 |
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| Feb. 1 | By Cash | - | 500·00 | 3,600·00 |
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| March 15 | By Cash | - | 2,000·00 | 3,600·00 |
| March 20 | To Cheque | 1,000·00 | - | 2,600·00 |
| June 12 | By Cash | - | 3,000·00 | 5,600·00 |
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