Question
'Aman', 'Bittu' and 'Charu' started a business together
such that 'Aman' invested a 40% of the total capital invested by 'Aman', 'Bittu' and 'Charu' together, 'Bittu' invested 40% of the remaining capital and 'Charu' invested the rest, then determine the profit share of 'Charu' given that the business earned a profit of Rs. 2,25,000 at the end of the year.Solution
ATQ, Let the Aman, Bittu and Charu can be defined as A, B and C respectively. Let the total capital invested by 'A', 'B' and 'C' together be Rs. '100x' So, capital invested by 'A' = 100x X 0.4 = Rs. '40x' And, capital invested by 'B' = (100x - 40x) X 0.4 = Rs. '24x' And, capital invested by 'C' = 100x - 40x - 24x = Rs. '36x' Ratio of profit share of 'A', 'B' and 'C' = {40x X 12}:{24x X 12}:{36x X 12} = 10:6:9 So, profit share of 'C' = 225000 X (9/25) = Rs. 81,000
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