There are two numbers A and B are such that the sum of 5% of A and 4% of B equals two-thirds of the sum of 6% of A and 8% of B. Calculate the A:B ratio.
A. 2 : 3
B. 1 : 1
C. 3 : 4
D. 4 : 3
Answer:D
There are two numbers A and B are such that the sum of 5% of A and 4% of B equals two-thirds of the sum of 6% of A and 8% of B. Calculate the A:B ratio.
A. 2 : 3 B. 1 : 1 C. 3 : 4 D. 4 : 3
Explanation: 6 percent of A + 4% of B Equals 2/3 (6 percent of A + 8% of B),2/3 X 6/100 A + 8/100 B = 5/100 A + 4/100 B,1/25A + 4/75B = 1/20 A + 1/25A B,4/75 - 1/25 B = 1/20 - 1/25 A,1/75 B = 1/100 A,A/B = 100/75 = 4/3 .4:3 is the required ratio.