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      Question

      A path of width 2.5 m is made outside and around a

      rectangular field of perimeter 300 m. If the length of the field is 20% more than its breadth, then find the cost of paving the path at Rs. 20 per m².
      A Rs.14590 Correct Answer Incorrect Answer
      B Rs.13590 Correct Answer Incorrect Answer
      C Rs.14590 Correct Answer Incorrect Answer
      D Rs.14090 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let, breadth of the field be ‘x’ m. So, the length of the field = ‘1.2x’ m. Therefore, 2 × (x + 1.2x) = 300 2.4x = 150 x = 62.5 Therefore, the breadth of the field = x = 62.5 metres. Length of the field = 1.2x = 75 metres. So, the area of the path = (80 × 67.5) – (62.5 × 75) = 5400 – 4687.5 = 712.5 m². Required cost = 712.5 × 20 = Rs. 14250.

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