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      Question

      In the question, two quantities I and II are given. You

      have to solve both the quantities to establish the correct relation between Quantity-I and Quantity-II and choose the correct option. Quantity I: A 200 litres chemical mixture contains 25% acid and the rest is water. How much water should be added so that the final acid to water ratio becomes 1:3? Quantity II: In a container, the ratio of honey to water is 7:2. If 21 litres of honey and 24 litres of water are added, the ratio becomes 2:1. Find the initial difference in litres between honey and water.
      A Quantity-I > Quantity-II Correct Answer Incorrect Answer
      B Quantity-I < Quantity-II Correct Answer Incorrect Answer
      C Quantity-I ≀ Quantity-II Correct Answer Incorrect Answer
      D Quantity-I β‰₯ Quantity-II Correct Answer Incorrect Answer
      E Quantity-I = Quantity-II or No relation Correct Answer Incorrect Answer

      Solution

      ATQ,

      Quantity I:

      Acid = 25% of 200 = 50 litres

      Water = 75% of 200 = 150 litres

      Let added water = x litres Image

      50Γ—3=1Γ—(150+x)

      150=150+x

      X = 0

      Water to be added = 0 litres

      Quantity II:

      Let honey = 7x, water = 2x

      New honey = 7x + 21, new water = 2x + 24

      Image

      Initial difference = 7x – 2x = 5x = 5 Γ— 9 = 45 litres

      So, Quantity-I < Quantity-II

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