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      Question

      In a big orchard, 50% of the trees are guava trees, number of orange trees is 40% of the number of guava trees and number of banana trees is 75% of the number of orange trees. If the number of banana trees is 180, then find the number of trees in the orchard.

      A 1000 Correct Answer Incorrect Answer
      B 1200 Correct Answer Incorrect Answer
      C 1400 Correct Answer Incorrect Answer
      D 1600 Correct Answer Incorrect Answer

      Solution

      Let total number of trees in the orchard be 100x

      Number of guava trees = 0.50 × 100x = 50x

      Number of orange trees = 0.40 × 50x = 20x

      Number of banana trees = 0.75 × 20x = 15x

      So, 15x = 180

      Or, x = 12

      Total number of trees in the orchard = 100 × 12 = 1200

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