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Finding Percentage of a Number

Two numbers A...

Question

Two numbers A and B are such that the sum of 8% of A and 6% of B is two-fifth of the sum of 10% of A and 20% of B. Find the ratio of A : B.

A

1:2

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B

4:1

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C

1:4

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D

None of These

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Solution

The correct option is A
1:2

0.08 A + 0.05 B = $\frac{2}{5}$ [ 0.1 A + 0.2 B ]

⇒ 0.4A + 0.3 B = 0.2 A + 0.4 B

⇒ $\frac{A}{B}$ = $\frac{0.1}{0.2}$

= 1:2

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