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Question
Amit deposited Rs. 150 per month in a bank for 8 months under the Recurring Deposit Scheme. What will be the maturity value of his deposits, if the rate of interest is 8% per annum and interest is calculated at the end of every month?
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Solution
Interest on his deposit = `(n(n + 1))/(2)xx ("Instalment" xx "Rate")/(100 xx 12)`
= `(8(8 + 1))/(2) xx (150)/(100) xx (8)/(12)`
= `(8 xx 9 xx 150 xx 8)/(2 xx 100 xx 12)`
= ₹ 36
Maturity value
= ₹ 150 × 8 + ₹ 36
= ₹ 1,200 + ₹ 36
= ₹ 1,236
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