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Question
Mr. Jacob has a 5 years recurring deposit account in Bank of Baroda and deposits ₹ 2400 per month. If he receives ₹ 186090 at the time of maturity, find:
- the rate of (simple) interest.
- the total interest earned by Mr. Jacob.
Sum
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Solution
Given:
Monthly deposit P = ₹ 2400
Time n = 5 years = 60 months
Maturity value (MV) = ₹ 186090
Total Deposit
= P ⋅ n
= 2400 ⋅ 60
= ₹ 144000
Interest earned
I = MV − Total Deposit
= 186090 − 144000
= ₹ 42090
`I = (Pxxn(n+1)xxr)/(2xx12xx100)`
`=> 42090 = (2400xx60xx61xxr)/2400`
`42090 = (60xx61xxr)/1`
`=> 42090 = 3660r`
`=> r = 42090/3660`
= 11.5%
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