A certain sum of money is invested at the rate of 10% per annum compound interest, the interest compounded annually. If the difference between the interests of third year and first year is rs.1105, find the sum invested.
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the sum invested p is given in the above picture
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ARYAanshul:
sorry but the correct answer is 52619.04
Answered by
35
For Annual compound intrest,Amount A at the end of n years is given by
A = where, r is rate of intrest expressed as percentage
Rate of intrest on a amount C =c*r where r is rate of intrest expressed as percentage
Let , the invested amount be P
rate of intrest r=10/100=0.1
Intrest of first year = P * 10/100 = 0.1P
Amount at the end of second year = A2=
Intrest of third year = A2*0.1
Given , difference between intrest of third year and first year is rs.1105
So, 0.1*P* - 0.1P = 1105
0.1P() = 1105
0.1P(0.21) = 1105
P = Rs.52619
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