Question
12% of 25% of ‘A’ is equal to 40% of 15% of ‘B’.
Find the value of (A + B):(A – B).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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