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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]

बेरीज

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

संबंधित प्रश्‍न

Find the amount of an ordinary annuity of ₹ 3,200 per annum for 12 years at the rate of interest of 10% per year. [(1.1)12 = 3.1384]


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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]


Find the present value of an annuity of ₹ 900 payable at the end of 6th month for 6 years. The money compounded at 8% per annum. [(1.04)–12 = 0.6252]


The present value of the perpetual annuity of ₹ 2000 paid monthly at 10% compound interest is ___________.


Find the amount of annuity of ₹ 2000 payable at the end of each year for 4 years of money is worth 10% compounded annually. [(1.1)4 = 1.4641]


Find the amount of an ordinary annuity of ₹ 600 is made at the end of every quarter for 10 years at the rate of 4% per year compounded quarterly. [(1.01)40 = 1.4889]


Naveen deposits ₹ 250 at the end of each month in an account that pays an interest of 6% per annum compounded monthly, how many months will be required for the deposit to amount to at least ₹ 6390? [log(1.1278) = 0.0523, log(1.005) = 0.0022]


A cash prize of ₹ 1,500 is given to the student standing first in examination of Business Mathematics by a person every year. Find out the sum that the person has to deposit to meet this expense. Rate of interest is 12% p.a.


Machine A costs ₹ 15,000 and machine B costs ₹ 20,000. The annual income from A and B are ₹ 4,000 and ₹ 7,000 respectively. Machine A has a life of 4 years and B has a life of 7 years. Find which machine may be purchased. (Assume discount rate 8% p.a) [(1.08)–4 = 0.7350, (1.08)–7 = 0.5835]


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