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      Question

      'Kevin' began a business with Rs.14,000. 'Liam' joined after 'c' months with Rs.21,000. Given their profit ratio by year-end was 14:21, find c2+16.

      A 80 Correct Answer Incorrect Answer
      B 90 Correct Answer Incorrect Answer
      C 32 Correct Answer Incorrect Answer
      D 50 Correct Answer Incorrect Answer

      Solution

      ATQ, 'Liam' came in after 'c' months, so his investment time = 12−c months. Profit sharing ratio = 14000×12 : 21000×(12−c) = 14:21  Or, 12−c=8  Thus, c=12−8=4  Therefore, required value = c2+16=42+16=16+16=32

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