Question
'A', 'B' and 'C' started a business together such that 'A' invested a 50% of the total capital invested by 'A', 'B' and 'C' together, 'B' invested 30% of the remaining capital and 'C' invested the rest, then find the profit share of 'B' given that the business earned a profit of Rs. 1,80,000 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 × 0.5 = Rs. '50x' And, capital invested by 'B' = (100x − 50x) × 0.3 = Rs. '15x' And, capital invested by 'C' = 100x − 50x − 15x = Rs. '35x' Ratio of profit share of 'A', 'B' and 'C' = {50x × 12}:{15x × 12}:{35x × 12} = 10:3:7 So, profit share of 'B' = 1,80,000 × (3/20) = Rs. 27,000
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