Two numbers A and B are such that the sum of 5% A and 4% of B is two - third of the sum o f 6% A and 8% of B. what is the ratio of A and B.
A
1: 1
B
2 :3
C
2: 5
D
4: 3
Correct Answer: 4: 3
According to question, 5A100 + 4B100 = 23×6A100 + 8B100⇒5A + 4B = 23×6A + 8B⇒3×5A + 4B = 2×6A + 8B⇒15A + 12B = 12A + 16B⇒3a = 4B∴A:B = 4:3