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      Question

      A group of 3 men and 5 women can finish a task in 12

      days, while another group of 5 men and 3 women can complete the same task in 9 days. If one man and one woman are hired to complete the task for ₹1,092, and the man's earnings are ₹'b', calculate 35% of (b - 438).
      A 135 Correct Answer Incorrect Answer
      B 172 Correct Answer Incorrect Answer
      C 147 Correct Answer Incorrect Answer
      D 198 Correct Answer Incorrect Answer
      E 116 Correct Answer Incorrect Answer

      Solution

      Let the efficiency of a man and a woman be 'M' units/day and 'W' units/day, respectively. ATQ, (3M + 5W) X 12 = (5M + 3W) X 9 Or, 36M + 60W = 45M + 27W Or, 9M = 33W Or, (M/W) = (11/3) Let 'M' = '11a' and 'W' = '3a' So, 'b' = [11a ÷ (11a + 3a) ] X 1,092 = 858 Therefore, required value = 0.35 X (858 - 438) = 147

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