Question

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. Find the ratio of A:B is
A. О 4:3
B. O 3:4
C. O 1:1
D. O 2:3
E. O None of these
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Answer 1

I don't have the right answer

Answer 2

Let the number A is x and number B is y
Then 5% of a is
100
5
​
x=0.5x and 4% of number B is
100
4
​
x=0.4y
Then 6% of a is
100
6
​
x=0.6x and 8% of number B is
100
8
​
x=0.8y
As per given in question
∴0.5x+0.4y=
3
2
​
(0.6x+0.8y)
⇒1.5x+1.2y=1.2x+1.6y
⇒1.5x−1.2x=1.6y−1.2y
⇒0.3x=0.4y
⇒
y
x
​
=
3
4
​