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Find the present value of ₹ 2,000 per annum for 14 years at the rate of interest of 10% per annum. If the payments are made at the end of each payment period. [(1.1)–14 = 0.2632] - Business Mathematics and Statistics

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प्रश्न

Find the present value of ₹ 2,000 per annum for 14 years at the rate of interest of 10% per annum. If the payments are made at the end of each payment period. [(1.1)–14 = 0.2632]

योग
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उत्तर

Here a = 2000, n = 14, and i = `10/100` = 0.1

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

= `2000/0.1 [1 - 1/(1 + 0.1)^14]`

= `2000/0.1 [1 - (1.1)^(-14)]`

= 20000 [1 – 0.2632]

= 20000 × 0.73678

= ₹ 14,735.60

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

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 7 Financial Mathematics
Exercise 7.1 | Q 6 | पृष्ठ १६७

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