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Question
Mrs. Mathew opened a Recurring Deposit Account in a certain bank and deposited ₹ 640 per month for 4 ½ years. Find the maturity value of this account, if the bank pays interest at the rate of 12% per year.
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Solution
Installment per month (P) = Rs. 640
Number of months (n) = 54
Rate of interest (r) = 12% p.a.
∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`
= `640 xx (54(54 + 1))/(2xx 12) xx 12/100`
= `640 xx 2970/24 xx 12/100`
= Rs. 9,504
The amount that Manish will get at the time of maturity
= Rs. (640 × 54) + Rs. 9,504
= Rs. 34,560 + Rs. 9,504
= Rs. 44,064
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