The amount in a savings account increased from $200 to $210. What was the percent of the increase?

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Answer 1 · 2016-07-24T21:32:22

$5 %$ $5%$

From $$ 200$ $$200$ amount Increased by $$ 10$ $$10$
So percentage increase is $(\frac{10}{200}) (100) = 5 %$ $(10/200)(100) = 5%$

Answer 2 · 2016-07-24T21:35:33

I found: $5 %$ $5%$

You can see that in terms of money the increase was $$ 10$ $$10$ . We can use fractions to "compare" percents and money as:

$\frac{$ 200}{$ 10} = \frac{100 %}{x %}$ $($200)/($10)=(100%)/(x%)$

where $x %$ $x%$ will be the percent increase. So rearranging:
$x%=100%(cancel($)10)/(cancel($)200)=5%$

Answer 3 · 2016-07-24T21:35:43

5%

Expressed as a fraction of the original deposit

$(210-200)/200 = 10/200$

Percent means 'for each 100'

So we need to change the 200 into 100.

For multiply and divide what you do to the bottom you do to the top

Divide top and bottom by 2 giving:

$(10-:2)/(200-:2)= 5/100$

So the increase is 5% $larr" numerator of the fraction"$