Ratio and Proportion | Arithmetic aptitude | Discussion Page

1)

If $x:y=3:4$ , find $(4x+5y):(5x-2y)$ .

A)

$\frac{32}{7}$

B)

$\frac{7}{42}$

C)

$\frac{33}{2}$

D)

$\frac{1}{12}$

E)

$\frac{2}{7}$

Option A

$\frac{x}{y}=\frac{4}{3}$ $\Rightarrow \frac{4x+5y}{5x-2y}$

$\frac{4\frac{x}{y}+5}{5\frac{x}{y}-2}$

$=\frac{4\times\frac{3}{4} +5} {5\times\frac{3}{4} -2}$

$= \frac{3+5}{\left(\frac{7}{4}\right)}$ $=\frac{32}{7}$

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