Question

If $\left(\frac{3}{2}\right)x=\left(\frac{4}{100}\right)y$, then the value of $\left(\frac{(y-x)}{(y+x)}\right)$ is:

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

$\left(\frac{3}{2}\right)x=\left(\frac{4}{100}\right)yx=\left(\frac{4}{150}\right)y\left(\frac{(y-x)}{(y+x)}\right)=\frac{y-x}{y+x}=\frac{y-\frac{4y}{150}}{y+\frac{4y}{150}}=\frac{\frac{150y-4y}{150}}{\frac{150y+4y}{150}}=\frac{146y}{154y}=\frac{73}{77}$