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      Question

      12% of 25% of ‘A’ is equal to 40% of 15% of ‘B’.

      Find the value of (A + B):(A – B).
      A 7:2 Correct Answer Incorrect Answer
      B 3:1 Correct Answer Incorrect Answer
      C 2:1 Correct Answer Incorrect Answer
      D 9:4 Correct Answer Incorrect Answer

      Solution

      ATQ,

      ‘Given, 12% of 25% of ‘A’ is equal to 40% of 15% of ‘B’

      Or, 0.12 × 0.25 × A = 0.40 × 0.15 × B

      Or, 0.03A = 0.06B

      Or, 3A = 6B

      Or, A/B = 2:1

      Applying componendo and dividendo, we get

      Or, (A + B)/(A – B) = (2 + 1)/(2 – 1) = 3:1

      ∴ (A + B):(A – B) = 3:1

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