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      Question

      The length and breadth of a rectangular plot of a

      land are in the ratio 9:7. The owner spent Rs 8,000/- for surrounding it form all the sides at the rate of Rs 10per meter. What is the difference between the length and breadth of the plot?
      A 50m Correct Answer Incorrect Answer
      B 100m Correct Answer Incorrect Answer
      C 40m Correct Answer Incorrect Answer
      D 60m Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let length = 9 x and breadth =7x [if gte msEquation 12]> x [if !msEquation]-->[endif]--> Perimeter = `(8000)/(10)` [if gte msEquation 12]> 8,000 10 [if !msEquation]-->[endif]--> = 800 m ⇒ 2(9 x + 7x ) = 800 m ⇒ 16 x [if gte msEquation 12]>x [if !msEquation]-->[endif]--> = 400 ∴ [if gte msEquation 12]>x [if !msEquation]-->[endif]--> x = `(400)/(16)` [if gte msEquation 12]> 400 16 [if !msEquation]-->[endif]--> = 25 m ∴ Length = 9 x = 9 x 25 = 225 m ∴ Breadth = 7 x = 7 x 25 = 175 m ∴ required difference = 225 – 175 = 50 m

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