At what rate per cent per annum will ₹ 5000 amount to ₹ 5832 in 2 years compounded annually?

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Solution : Let the compound inteest be r% . <br> `:.` The amount of Rs. 5000 in 2 years `=Rs. 5000xx(1+r/100)^(2)` <br> As per question `5000xx(1+r/100)^(2)=5832` <br> or `(1+r/100)^(2)=5832/5000` <br>or `(1+r/100)^(2)=726/625` <br> or `(1+r/100)^(2)=(27/25)^(2)` <br> or `1+r/100=27/25` [ by taking square root of both of the sides] <br> or `r/100=27/25-1` ltbgt or `r/100=2/25` or `r=(2xx100)/25=8` <br> Hence the rate of compound interest is 8% per annum.


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Updated On: 27-06-2022

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At what rate per cent per annum will 5000 amount to 5832 in 2 years compounded?

Hence rate = 8%

At what rate percent per annum will a sum of Rs 5000 amount to Rs 5832 in 2 years compounded annually?

5000 amounts to Rs. 5832 in two years compounded annually. Therefore, rate of interest is 8% per annum.

At what rate of compound interest will rupees 5000 become rupees 5408 after 2 years?

Answer. R=8% p.a.

What rate per annum compound interest will Rs 5000?

5000 at 8% per annum compounded annually.