# 94 is divided into two parts in such a way that the fifth part of the first and the eighth part of the second are in the ratio 3 : 4. The first part is :

94 is divided into two parts in such a way that the fifth part of the first and the eighth part of the second are in the ratio 3 : 4. The first part is :
[A]28
[B]30
[C]36
[D]40

30
First part = x
and second part = 94 – x
$\therefore \frac{\frac{x}{5}}{\frac{94-x}{8}} = \frac{3}{4}$
$=> \frac{x}{5}\times \frac{8}{\left ( 94-x \right )}= \frac{3}{4}$
$=> 32x = 15\times 94 - 15x$
$=> 47x = 15\times 94$
$=> x = \frac{15\times 94}{47} = 30$
Hence option [B] is correct answer.