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प्रश्न
A person invested ₹ 5,000 every year in finance company that offered him interest compounded at 10% p.a., what is the amount accumulated after 4 years? [Given (1.1)4 = 1.4641]
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उत्तर
Given, C = ₹ 5,000, r = 10%p.a., n = 4 years
i = `"r"/100 = 10/100` = 0.1
It is an immediate annuity.
Now, A = `"C"/"i"[(1 + "i")^"n" - 1]`
= `(5,000)/(0.1)[1 + 0.1^4 - 1]`
= 50,000[(1.1)4 – 1]
= 50,000[1.4641 – 1]
= 50,000(0.4641)
= 23,205
∴ Amount accumulated after 4 years is ₹ 23,205.
संबंधित प्रश्न
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Find the amount of an ordinary annuity if a payment of ₹ 500 is made at the end of every quarter for 5 years at the rate of 12% per annum compounded quarterly. [Given (1.03)20 = 1.8061]
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= 2,00,000 [1 – 0.7513]
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Period, n = 20, r = 5%, (1.025)20 = 1.675
A = `"C"/"I" [(1 + "i")^"n" - 1]`
I = `5/200` = `square` as interest is calculated semi-annually
A = 10,00,000 = `"C"/"I" [(1 + "i")^"n" - 1]`
10,00,000 = `"C"/0.025 [(1 + 0.025)^square - 1]`
= `"C"/0.025 [1.675 - 1]`
10,00,000 = `("C" xx 0.675)/0.025`
C = ₹ `square`
