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 :
Q. 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 :
Answer: 30
Notes: First part = x and second part = 94 - x $latex \therefore \frac{\frac{x}{5}}{\frac{94-x}{8}} = \frac{3}{4}&s=1$ $latex => \frac{x}{5}\times \frac{8}{\left ( 94-x \right )}= \frac{3}{4}&s=1$ $latex => 32x = 15\times 94 - 15x$ $latex => 47x = 15\times 94$ $latex => x = \frac{15\times 94}{47} = 30&s=1$ Hence option [B] is correct answer.