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?

A 1:1

B 2:3

C 2:5

D 4:3

Correct Answer: Option D

The sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B

=> 5A/100 + 4B/100 =2/3 (6A/100 + 8B/100)

=>(5A + 4B )/100 = 2/3 (6A+8B)/100

=>(5A + 4B ) = 4A + 16/3B

=> A = 4B/3

=> A: B = 4/3