Percentage - Arithmetic Aptitude Questions and Answers

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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.

2 : 3

1 : 1

3 : 4

4 : 3

Answer : Option A

Explanation :

5 % of A + 4 % of B = $\frac { 2} { 3 }$ ( 6% of A + 8 % of B)

$\frac { 1 } { 20 }$ A + $\frac { 1 } { 25}$ B = A + $\frac { 4 } { 75}$ B

[ $\frac { 1 } { 20 }$ - $\frac { 1 } { 25}$ ] A = [ $\frac { 4 } { 75}$ - $\frac { 1 } { 25}$ ] B

= $\frac { 100 } { 75}$ = $\frac { 4 } { 3 }$

Required ratio = 4 : 3

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