Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of

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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.
Options
A. 2 : 3
B. 1 : 1
C. 3 : 4
D. 4 : 3

Correct Answer

4 : 3

Explanation

5% of A + 4% of B =	2	(6% of A + 8% of B)
	3

⟹	5	A +	4	B	=	2	❨	6	A +	8	B	❩
	100		100			3		100		100

⟹	1	A +	1	B	=	1	A +	4	B
	20		25			25		75

⟹	❨	1	-	1	❩ A =	❨	4	-	1	❩ B
		20		25			75		25

⟹	1	A =	1	B
	100		75

A	=	100	=	4	.
B		75		3

∴ Required ratio = 4 : 3

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7.
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