Question
'A', 'B' and 'C' started a business together such that
'A' invested a 35% of the total capital invested by 'A', 'B' and 'C' together, 'B' invested 40% of the remaining capital and 'C' invested the rest, then find the profit share of 'C' given that the business earned a profit of Rs. 2,60,000 at the end of the year.Solution
Let the total capital invested by 'A', 'B' and 'C' together be Rs. '100x' So, capital invested by 'A' = 100x × 0.35 = Rs. '35x' And, capital invested by 'B' = (100x − 35x) × 0.4 = Rs. '26x' And, capital invested by 'C' = 100x − 35x − 26x = Rs. '39x' Ratio of profit share of 'A', 'B' and 'C' = {35x × 12}:{26x × 12}:{39x × 12} = 35:26:39 So, profit share of 'C' = 2,60,000 × (39/100) = Rs. 1,01,400
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