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    Question

    (175/3)% of the raindrops could have been collected,

    when 6 cm of rain has fallen on a part of land of area 2 km2, in a tank having a 200 m × 10 m base, then water collected in the tank is 50% of its capacity. Find the capacity of the tank?
    A 400000 mÂł Correct Answer Incorrect Answer
    B 280000 mÂł Correct Answer Incorrect Answer
    C 140000 mÂł Correct Answer Incorrect Answer
    D 142500 mÂł Correct Answer Incorrect Answer
    E 202500 mÂł Correct Answer Incorrect Answer

    Solution

    The volume of rain water in the land which could have been collected and the volume of water in the tank should be equal . Let, level of water in the tank is h meter. According to the question, ⇒ 6/100 × 2000 × 2000 × 175/300 = 200 × 10 × h ⇒ h = 70 m Volume of water in the tank = 200m × 10m × 70m = 140000 m3 Since, water in the tank is 50% of its capacity. So, capacity of tank = (140000/50) × 100 = 280000 m3

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