Question
A man wants to invest Rs 40,440 in bank account of his
two sons whose age were 12 years and 16 years in such a way that they will get equal amount at age of 120 years @ 33 1/3% per annum compounded annually. Find the share of younger son?Solution
A = P+ (1+ r/100)^n Let the principal for younger son be Rs x Principal for elder son be Rs y Interest to be calculated for Younger son = (120 â 12) = 108 years Elder son = (120 â 16) = 104 years Since, amount will be equally distributed then, âx  (1+ 100/300)^108 = y (1+ 100/300)^104 â x  (4/3)^108 = y (4/3)^104 ăâ(4/3)ă^(108 - 104)  =  y/x  â  y/x = 256/81 ⴠYounger sonâs share = 81/337  Ă40,440 = Rs 9,720Â
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