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      Question

      'A', 'B' and 'C' started a business together such that 'A' invested a 20% of the total capital invested by 'A', 'B' and 'C' together, 'B' invested 25% 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. 1,75,000 at the end of the year.

      A Rs. 70,000 Correct Answer Incorrect Answer
      B Rs. 90,000 Correct Answer Incorrect Answer
      C Rs. 1,05,000 Correct Answer Incorrect Answer
      D Rs. 1,15,000 Correct Answer Incorrect Answer
      E Rs. 95,000 Correct Answer Incorrect Answer

      Solution

      Let the total capital invested by 'A', 'B' and 'C' together be Rs. '100x' So, capital invested by 'A' = 100x × 0.2 = Rs. '20x' And, capital invested by 'B' = (100x − 20x) × 0.25 = Rs. '20x' And, capital invested by 'C' = 100x − 20x − 20x = Rs. '60x' Ratio of profit share of 'A', 'B' and 'C' = {20x × 12}:{20x × 12}:{60x × 12} = 1:1:3 So, profit share of 'C' = 1,75,000 × (3/5) = Rs. 1,05,000

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