Question

The percent increase from $6$ to $15$ is equal to the percent increase from $15$ to

• A. $30$
• B. $19.5$
• C. $37.5$
• D. $27.5$

Answer 1

The correct option is C $37.5$

Let the percentage increase from $6$ to $15$ is equal to the percentage increase from $15$ to $n$

$\therefore \frac{(15-6)}{6}=\frac{(n-15)}{15}$

$\Rightarrow \frac{9}{6}=\frac{(n-15)}{15}$

On cross multiplying, we get

$\Rightarrow 135=6n-90$

$\Rightarrow 6n=135+90$

$\Rightarrow 6n=225$

$\Rightarrow \frac{225}{6}=37.5$