Question
'X' and 'Y' invested 'a + 2400' and '2a', respectively,
to launch their businesses. 'X' withdrew half of his money four months later. Determine 'X's investment if, at the end of the year, 'Y''s profit share was Rs. 24,000 of the overall profit of Rs. 48,000.Solution
ATQ, Ratio of profit shares of X and Y after 1 year: = {(a + 2400) X 4 + (a + 2400) X 0.5 X 8}:(2a X 12) = {(4a + 9600) + (4a + 9600) }:24a = (8a + 19,200) :24a = (a + 2400) :3a So, profit share of 'Y' = 48000 - 24000 = Rs. 24,000 ATQ; {(a + 2400) /3a} = (24000/24000) Or, a + 2400 = 3a Or, 2400 = 2a So, 'a' = 1200 So, investment of X = 1200 + 2400 = Rs. 3,600
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