Cost of levelling the track at the rate of Rs.10 per sq. metre is:

The outer circumference of a circular race-track is 528 metre. The track is everywhere 14 metre wide. Cost of levelling the track at the rate of Rs.10 per sq. metre is:

  1. Rs.66760
  2. Rs.76760
  3. Rs.77660
  4. Rs.67760
Anurag Mishra Professor Asked on 11th December 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) Rs. 67760

    Explanation:-
    The outer circumference of a circular track = 528 meter
    Then, 2 π r = 528
    r = 528 x 7/22 x 2
    r = 84 meter

    The outer radius of the circular track = 84 meters
    Then, the total area of circular field = 22 x 84 x 84/7
    = 22176 m²

    The wide of the circular track = 14 meters
    Then, the internal radius of circular field = 84 – 14
    = 70 meters

    The internal area of the field = 22 x 70 x 70/7
    = 15400 m²

    Then, the area of the track = 22176 – 15400
    = 6776 m²

    The cost of the leveling of the track = Rs. 10 /m²
    Then, the cost of the leveling track = 6776 x 10
    = Rs. 67760

    Hence, the answer is (4) Rs. 67760.

    Anurag Mishra Professor Answered on 11th December 2015.
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