• # question_answer The sum of 5% of a number and 4% of other number is $\frac{2}{3}$ of the sum of 6% of the first number and 8% of second. The ratio of the first number to the second is A)  2 : 3                 B)  3 : 2 C)  3 : 4                 D)  4 : 3

Let the first number $=x$ and the second number = y According to the question, 5% of $x+4%$ of $y=\frac{2}{3}$ (6% of x + 8% of y) $\Rightarrow$ $3(5x+4y)=2(6x+8y)$ $\Rightarrow$ $15x+12y=12x+16y$ $\Rightarrow$ $3x=4y$  $\therefore$ $\frac{x}{y}=\frac{4}{3}$