Question

two number 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

Answer 1

5%of A + 4%of B=2/3 (6%of A + 8%of B).
5A/100 + 4B/100=2/3 (6A/100 + 8B/100).
Taking lcm
(5A+4B)/100= 2/3(6A+8B)/100.
Cancelling out 100 in the denominator.
5A+4B= 2/3(6A+8B).
3(5A+4B)= 2(6A+8B).
15A+12B=12A+16B.
15A-12A=16B-12B.
3A=4B.
A/B=4/3.
A:B :: 4:3.

Hope this helps.