Question

If $3x=2k$ and $5y=8k$, then find the ratio $x:y$.

• A. $5:12$
  
• B. $4:7$
  
• C. $2:9$
  
• D. None of these
  

Answer 1

The correct option is A $5:12$

Given, $3x=2k$ and $5y=8k$

$\therefore x=\frac{2k}{3}$and $y=\frac{8k}{5}$

$\therefore$ Ratio $x:y=\frac{x}{y}$

$=\frac{\frac{2k}{3}}{\frac{8k}{5}}$

$=\frac{2k}{3}\times \frac{5}{8k}$

$=\frac{5}{12}$

$\therefore x:y=5:12$