Question
A invest twice the sum invested by B and withdraws half
of sum after 3 months and again withdraws half of the remaining sum after 7 months. Find ratio of profit share of A to B at the end of a year.Solution
A invests twice as much as B, so A = 2x and B = x. A's investment timeline: First 3 months: 2x × 3 = 6x Next 4 months (after withdrawing half): x × 4 = 4x Last 5 months (after withdrawing half again): (x/2) ×5= 2.5x Total investment by A over the year: 6x + 4x + 2.5x =12.5x. B invests x for the entire 12 months, so B's total investment is 12x. The ratio of their profit shares (A to B) is: (12.5x/12x) = (25/24) The profit share ratio of A to B is 25:24.
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