Question
Billu and Bhaga jointly established a business, with
Billu investing Rs. 'x + 2400' and Bhaga investing Rs. '2x'. After four months, Billu withdrew half of his initial capital. By the end of the year, Bhaga's share of the total profit of Rs. 48,000 amounted to Rs. 24,000. Determine the initial investment made by Billu.Solution
Ratio of profit shares of Billu and Bhaga after 1 year: = {(x + 2400) X 4 + (x + 2400) X 0.5 X 8}:(2x X 12) = {(4x + 9600) + (4x + 9600) }:24x = (8x + 19,200) :24x = (x + 2400) :3x So, profit share of 'B' = 48000 - 24000 = Rs. 24,000 ATQ; {(x + 2400) /3x} = (24000/24000) Or, x + 2400 = 3x Or, 2400 = 2x So, 'x' = 1200 So, investment of Billu = 1200 + 2400 = Rs. 3,600
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