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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 m┬│ Correct Answer Incorrect Answer
    B 280000 m┬│ Correct Answer Incorrect Answer
    C 140000 m┬│ Correct Answer Incorrect Answer
    D 142500 m┬│ Correct Answer Incorrect Answer
    E 202500 m┬│ 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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