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1. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. What is the ratio of A and B?

Answer: Option D

Explanation:

According the quesion, \frac{5 A}{100} + \frac{4 B}{100} = \frac{3}{2} × [\frac{6 A}{100} + \frac{8 B}{100}] ⇒5A+4B= \frac{3}{2} × [6 A + 8 B] ⇒3× [5 A + 4 B] =2× [6 A + 8 B] ⇒15A+12B=12A+16B \Rightarrow 3 A = 4 B ∴ A : B = 4 : 3

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