Two numbers A and B are such that the sum of 7% 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.	Choose the correct answer:	A) 2 : 1	B) 1 : 2	C) 4 : 9	D) 1 : 1	E) 3 : 2
Explanation:   7% of A + 4% of B = 2/3(6% of A + 8% of B)   7A/100 + 4B/100 = 2/3(6A/100+8B/100)   ⇒7A + 4B = 2/3(6A + 8B)   ⇒21A + 12B = 12A + 16B   ⇒ 9A = 4B   ⇒ AB = 4/9   ⇒ A:B=4:9   Answer: Option 4 : 9
<result>C</result>
Two numbers A and B are such that the sum of 7% 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.