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    Question

    (210/3)% of the raindrops could have been collected,

    when 3 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 60% of its capacity. Find the capacity of the tank? 
    A 400000 m³ Correct Answer Incorrect Answer
    B 280000 m³ Correct Answer Incorrect Answer
    C 140000 m³ Correct Answer Incorrect Answer
    D 142500 m³ 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, ⇒ 3/100 × 2000 × 2000 × 210/300 = 200 × 10 × h ⇒ h = 42 m Volume of water in the tank = 200m × 10m × 42m = 84000 m3 Since, water in the tank is 60% of its capacity. So, capacity of tank = (84000/60) × 100 = 140000 m3

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