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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. - Mathematics

MCQ

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

  • 2 : 3

  • 1 : 1

  • 3 : 4

  • 4 : 3

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Solution

4 : 3
Explanation : 

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

⇒ `5/100"A" +4/100"B" = 2/3(6/100"A" +8/100"B")`

⇒`1/20"A"+1/25"B" = 1/25"A" +4/75"B"`

⇒`(1/20-1/25)"A" = (4/75-1/25)"B"`

⇒ `1/100"A" = 1/75"B"`

⇒ `"A"/"B"=100/75=4/3`

∴ Required ratio = 4 : 3

Concept: Percentage, Discount and Partnership (Entrance Exam)
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