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. Find the ratio of A : B. Options:  A) 2 : 1  B) 1 : 2  C) 4 : 3  D) 1 : 1  E) 3 : 2
Explanation:   5% of A + 4% of B = 2/3(6% of A + 8% of B)   5A/100 + 4B/100 = 2/3(6A/100+8B/100)   ⇒5A + 4B = 2/3(6A + 8B)   ⇒15A + 12B = 12A + 16B   ⇒ 3A = 4B   ⇒ AB = 4/3   ⇒ A:B=4:3   Answer: Option 4 : 3
<result>C</result>
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. Find the ratio of A : B.