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प्रश्न
Mohan has a recurring deposit account in a bank for 2 years at 6% p.a. simple interest. If he gets Rs. 1200 as interest at the time of maturity, find:
- the monthly instalment.
- the amount of maturity.
Mohan has a recurring deposit account in a bank for 2 years at 6% p.a. simple interest. If he gets Rs. 1200 as interest at the time of maturity, find:
- the monthly instalment.
- the amount of maturity.
- If Mohan decreases his monthly instalment by 20%, how much less interest will he get at the same rate of interest and for the same time?
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उत्तर
Interest = Rs. 1200
Period (n) = 2 years = 24 months
Rate (r) = 6% p.a.
i. Let monthly deposit = ₹ P p.m.
∴ Interest = `(P xx n(n + 1))/(2 xx 12) xx r/(100)`
`1200 = (P xx 24 xx 25)/(24) xx (6)/(100)`
`\implies 1200 = (6)/(4)p`
∴ `P = (1200 xx 4)/(6) = 800`
∴ Monthly deposit = ₹ 800
ii. Maturity value = P × n + Interest
= ₹ 800 × 24 + ₹ 1,200
= ₹ 19,200 + ₹ 1,200
= ₹ 20,400
iii. Interest when monthly instalment is decreased by 20%
Original monthly instalment = ₹ 800
Decrease = 20% of ₹ 800
= `20/100 xx ₹ 800`
= ₹ 160
New monthly instalment = ₹ 800 − ₹ 160
= ₹ 640
Since the rate and period remain the same, interest is directly proportional to the monthly instalment.
New Interest = `₹ 1,200 xx 640/800`
= ₹ 960
Therefore, less interest received = ₹ 1,200 − ₹ 960
= ₹ 240
Notes
Students should refer to the solution according to their question.
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संबंधित प्रश्न
Virat opened a Savings Bank account in a bank on 16th April 2010. His pass book shows the following entries:
| Date | Particulars |
Withdrawal (Rs.) |
Deposit (Rs.) | Balance (Rs.) |
| April 16, 2010 | , By cash | - | 2500 | 2500 |
| April 28th | By cheque | - | 3000 | 5500 |
| May 9th | To cheque | 850 | - | 4650 |
| May 15th | By cash | 1600 | 6250 | |
| May 24th | To cash | 1000 | - | 5250 |
| June 4th | To cash | 500 | - | 4750 |
| June 30th | To cheque | - | 2400 | 7150 |
| July 3rd | By cash | - | 1800 | 8950 |
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Fill in the blanks in the table.
| Principal | Rate of interest (p.c.p.a.) | Time | Interest | Amount |
| ...... | 6% | 4 years | 1200 | ...... |
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| ...... | 5% | ...... | 6000 | 18000 |
