Question

If $a:b=2:3,x:y=3:4$ then the value of $\frac{25by-2ax}{3ay+4bx}$ is

• A. $5:24$
• B. $24:5$
• C. $1:2$
• D. $2:1$

Answer 1

Answer: (B)

$24:5$

Given $a:b=2:3⟹\frac{a}{b}=\frac{2}{3}⟹a=\frac{2}{3}b$

$x:y=3:4⟹\frac{x}{y}=\frac{3}{4}⟹x=\frac{3}{4}y$

$\frac{25by-2ax}{3ay+4bx}=\frac{25by-2\times \frac{2}{3}b\times \frac{3}{4}y}{3\times \frac{2}{3}b\times y+4b\times \frac{3}{4}y}=\frac{25by-by}{2by+3by}=\frac{24}{5}=24:5$