Question

how much time it will take how much time will it take for rupees 5000 to become Rupees 5618 at 6% per annum compounded

Answer 1

amount =rs5618, principal =rs5000, rate=6%p.a
let time be x,
we know,
A=P*(1+r/100)^t
rs5618=rs5000*(1+6/100)^x
rs5618/rs5000=(1+6/100)^x
5618/5000=(106/100)^x
5618/5000=(53/50)^x
2809/2500=(53/50)^x
(53/50)^2=(53/50)^x
so, 2=x
x=2 years.....
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Answer 2

• P = 5000
• r = 6%
• A= 5618

We know that ,

Amount = P [ 1 + r/100]ⁿ

⇒ 5618 = 5000 [ 1 + 6/100 ] ⁿ

⇒  5618/5000 = [53/50]ⁿ

⇒ 2809/2500 = [53/50]ⁿ

⇒ [53/50]² = [53/50]ⁿ

By comparing we get,

n = 2 years.

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