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Find the amount at the end of 12 years of an annuity of ₹ 5,000 payable at the beginning of each year, if the money is compounded at 10% per annum. [(1.1)12 = 3.1384] - Business Mathematics and Statistics

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प्रश्न

Find the amount at the end of 12 years of an annuity of ₹ 5,000 payable at the beginning of each year, if the money is compounded at 10% per annum. [(1.1)12 = 3.1384]

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उत्तर

Here a = 5000, i = 10% = `10/100` = 0.1, n = 12

Amount A = `(1 + "i") "a"/"i" [(1 + "i")^"n" - 1]`

= `(1 + 0.1) 5000/(10/100) [(1 + 0.1)^12 - 1]`

= (1.1) 50000 [(1.1)12 – 1]

= 55000 [3.1384 – 1]

= 55000 [2.1384]

= ₹ 1,17,612

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पाठ 7: Financial Mathematics - Exercise 7.1 [पृष्ठ १६७]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 7 Financial Mathematics
Exercise 7.1 | Q 8 | पृष्ठ १६७

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