MathematicsA sum of money put at 11 % per annum amounts to Rs. 4491 in 2 years 3 months. The amount in 3 years at the same rate will be Rs. ____.

A sum of money put at 11 % per annum amounts to Rs. 4491 in 2 years 3 months. The amount in 3 years at the same rate will be Rs. ____.


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    Solution:

    A sum of money put at 11 % per annum amounts to Rs. 4491 in 2 years 3 months. The amount in 3 years at the same rate will be Rs. 4788.
    Given a sum of money put at 11 % per annum amounts to Rs. 4491 in 2 years 3 months. And the amount is Rs. 4491.
    We know that,
    S.I. = P×R×T 100  .
    Converting the time in years,
    Let principle = Rs. x.
    Now the simple interest is,
    S.I.= x×11×27 12×100 S.I.= 99x 400  
    Also, amount = sum + S.I.
    Amount=x+ 99x 400 Amount= 499x 400     …(i)
    Putting the value of amount in equation (i) to find x,
    Sum is Now, S.I. is,
    Amount after 3 years is,
    Therefore, the amount is Rs. 4788.
     
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