Question

When positive integer x is divided by positive integer y,the remainder is 9. If $\frac{x}{y}=96.12$ , What is the value of y?

• A. 96
• B. 75
• C. 48
• D. 25
• E. 12

Answer 1

The correct option is B 75

Given that when $x$ is divided by $y$, the remainder is $9$

Also given $\frac{x}{y}=\mathrm{96.12........}\left(1\right)$

we can say that

$x=96y+9$

Now, from Eqn 1 we get,

$\frac{x}{y}=96.12\Rightarrow \frac{96y+9}{y}=96.12\Rightarrow 96y+9=96.12y\Rightarrow 96.12y-96y=9$

$\Rightarrow 0.12y=9\Rightarrow y=\frac{9}{0.12}=75$

Hence, $y=75$