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