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      Question

      ‘X’, ‘Y’ and ‘Z’ jointly hired a machine to do

      a task. If they used it for 6, 9, and 5 hours respectively, and the total cost came to Rs. 1000, how much was Z’s contribution?
      A Rs.157 Correct Answer Incorrect Answer
      B Rs.126 Correct Answer Incorrect Answer
      C Rs.250 Correct Answer Incorrect Answer
      D Rs.105 Correct Answer Incorrect Answer

      Solution

      ATQ,
      Assume cost per hour is Rs. ‘x’.

      Then ‘X’, ‘Y’ and ‘Z’ paid Rs. 6x, Rs. 9x, and Rs. 5x respectively.

      So, 6x + 9x + 5x = 1000

      ⇒ 20x = 1000

      ⇒ x = 50

      Z’s share = 5x = 5 × 50 = Rs. 250

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