Romesh borrowed a sum of Rs. 245760 at 12.5% per annum, compounded annually. On the same day, he lent out his money to Ramu at the same rate of interest, but compounded semi-annually. Find his gain after 2 years.

Given,


For Romesh,


Principal = Rs. 245760


Rate = 12.5% per annum


Time = 2 years


Hence,


Compound interest =


=


For Ramu,


Principal = Rs.245760


Rate =


Time = 2×2 = 4 half years


Compound interest =


= 245760


Hence,


Gain for Romesh = Rs.(67443.75 – 65280 ) = Rs. 2163.75


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