1.

At the rate of compound interest of 8% per annum in how many years will the principles Rs. 40000 amount Rs. 46656?

Answer» Here the principal is Rs. 40000
The rate of compound interest `=8%`
Let the required time be `t` years.
`:.` The amount of Rs. 40000 in `t` years `=rs. 40000xx(1+8/100)^(t)`
`=Rs. 40000xx(1+2/25)^(t)`
`=Rs. 40000xx(27/25)^(t)`
As per questio `40000xx(27/25)^(t)=46656`
or `(27/25)^(t)=46656/40000`
or `(27/25)^(t)=729/625=(27/25)^(2)impliest=2`
Hence the required time `=2` years.


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