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      Question

      (190/3)% of the raindrops could have been collected,

      when 2 cm of rain has fallen on a part of land of area 3 km2, in a tank having a 200 m × 10 m base, then water collected in the tank is 80% 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
      E 202500 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, ⇒ 2/100 × 3000 × 3000 × 190/300 = 200 × 10 × h ⇒ h = 57 m Volume of water in the tank = 200m × 10m × 57m = 114000 m3 Since, water in the tank is 80% of its capacity. So, capacity of tank = (114000/80) × 100 = 142500 m3

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