Question 1210620
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A general discussion....<br>
If a number x is increased by 13%, then the new number is x plus 13% of x, or<br>
{{{(x)+0.13(x)=1.13(x)}}}<br>
In most problems, percent increases (and percent decreases) are more easily thought of using multiplication instead of addition or subtraction.  So instead of adding 13%, we multiply by 1.13.<br>
This use of multiplication instead of addition or subtraction has HUGE advantages if the problem involves multiple successive percent increases and/or percent decreases.<br>
Similarly, if we know that a number is 1.13 times its previous value, then we know the old number was increased by 13%.<br>
In this problem, we have two consecutive increases of 10%.  That means multiplying the original number by 1.10 (or just 1.1) and then multiplying it by 1.1 again.  So<br>
b = 1.1(a)
c = 1.1(b) = (1.1)(1.1)(a) = 1.21(a)<br>
And from this we see that the overall increase is 21%.<br>
ANSWER: 21%<br>