A man wants to invest Rs. 60660 in bank accounts of his two sons whose ages are 12 years and 16 years in such a way that they will get equal amount at an age of 120 years @ per annum compounded annually. Find the share of elder son?

A = {P(1+ r/100)}^{n} , 33(1/3)% = 1/3 Let the Principal for younger son be x And the Principal for elder son be y Now, Interest to be calculated for Younger son = (120-12) = 108 years Elder son = (120-16) = 104 years Since Amount will be equally distributed then, {x(1+ 1/3)}^{108}= {y(1+1/3)}^{104} x {(4/3)}^{(108 ) }= y{(4/3)}^{104} y/x = {(4/3)}^{(108-104 )} y/x = 256/81 Elder son’s share = 256/337 × 60660 = 46080

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