How 10% less of a number in a list of numbers changes the total of all the numbers?

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roastedgirl

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Percentage Problem

A = 1500
B = 2340
C = 6430
D = 580
E = 580
F = 2780

total =14610

The question is:

If "F" were deduced by 10%, what % would it reduce the total of A-F?

I have deduced that 10% less of 2780 is 2502 (2780 x .10 = 278, 2780-278 = 2502), and that brings the total of 14610 to 12108, but now I'm having trouble figuring how to find the % of the change in the total.

I'm not asking just for the answer, I want to know the equasion on how to find it.

Will someone please help?
 
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percent of change = [(amount of change) / (original value)] * 100

Or, we could think of it this way:

percent of change = [(new value - original value) / (original value)] * 100

If the percent of change turns out to be negative, you know that the value went down. If the percent of change turns out to be positive, you know that the value went up.

Since you deducted 10% from one of the values, you would EXPECT the total to go down, so don't be surprised when you get a negative number for the percent of change. You may be expected to give an answer like this: the total went down by x%
 
roastedgirl said:
A = 1500
B = 2340
C = 6430
D = 580
E = 580
F = 2780

total =14610 ← This total is wrong

The question is:

If "F" were deduced by 10%, what % would it reduce the total of A-F?

I have deduced that 10% less of 2780 is 2502 (2780 x .10 = 278, 2780-278 = 2502),

and that brings the total of 14610 to 12108 This is not correct. Only 278 gets subtracted from the total.
Click to expand...

Here's an example of how we find a percent change (in decimal form) from one number to another.

Old number: 14000

New number: 13722

(New Number - Old Number)/(Old Number)

(137222 - 14000)/14000 = -0.01986

Multiply this decimal form by 100, to get the number that's written with a percent sign (%).

We see that the percent change from 14000 to 13722 is a reduction (because it is negative) of -1.986%
 
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b.morales99 said:
keep them coming...

Keep what coming? My edits? (heh, heh, heh)
Click to expand...

Seriously, your pronoun "them" is unreferenced, and this makes your comment ambiguous. To which individual in this thread are you speaking? The original poster? Yourself? Somebody else? :cool:
 
Hey! What happened to the reflective blue-glass shades that Ted gave me? :(
 
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