10% lower and 10% higher of 100

Question

I'm confused about how to get the $10\%$ higher and $10\%$ lower of $100$. I'm alone I don't know if my idea is correct. My idea is $10\%$ higher of $100$ is $110$, then the $10\%$ lower of $100$ is $90$, then the range $10\%$ higher and $10\%$ lower of $100$ is between $90$ to $110$?

You seem to have the right idea, as far as I can tell. – Ben Grossmann Jun 18 '15 at 03:31 — Ben Grossmann, Jun 18 '15 at 03:31

score 3 · Answer 1 · answered Jun 18 '15 at 03:32

3

Yes.

But maybe it is less confusing to say 10% lower/higher than 100, or 10% below/above 100.

answered Jun 18 '15 at 03:32

Indominus

1,166

score 3 · Answer 2 · answered Jun 18 '15 at 04:09

3

I think you are right. $10\%$ higher of $100$ will be $110$ and lower will be $90\%$ .

answered Jun 18 '15 at 04:09

iadvd · Answer 3 · 2015-06-18T13:21:36.150

I think it is correct, in this case $100$ is exactly the $100\%$ of the quantity, so if you want a $10\%$ "higher" (or a $10\%$ over $100\%$), you want then $100\%+10\%=110\%$ of the quantity, which is in this case: $$100+\left(100\cdot \frac{10}{100}\right)=100+10=110$$

Likewise, if you want a 10% "lower" (or a $10\%$ under $100\%$), you want then the $100\%-10\%=90\%$ of the quantity, which is in this case: $$100-\left(100\cdot \frac{10}{100}\right)=100-10=90$$

10% lower and 10% higher of 100

3 Answers3