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    Question

    (230/3)% 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 230 m × 10 m base, then water collected in the tank is 80% of its capacity. Find the capacity of the tank?
    A 232500 mĀ³ Correct Answer Incorrect Answer
    B 115200 mĀ³ Correct Answer Incorrect Answer
    C 115000 mĀ³ Correct Answer Incorrect Answer
    D 87500 mĀ³ Correct Answer Incorrect Answer
    E 160000 mĀ³ 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 × 230/300 = 230 × 10 × h ⇒ h = 40 m Volume of water in the tank = 230m × 10m × 40m = 92000 m3 Since, water in the tank is 80% of its capacity. So, capacity of tank = (92000/80) × 100 = 115000 m3

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