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Ratios and Percents Question

Expert replies
by kalifalk » Tue Feb 21, 2012 7:32 pm
Hello,

I'm confused about a detail concerning these two basic questions:

1.) Company K's earnings were $12 million last year. If this year's earnings are projected to be 150 percent greater than last year's earnings, what are Company K's projected earnings this year?

Answer is $30 million because 12 + 1.5(12)=30

Second question:

What was the ratio of the number of cars to the number of trucks produced by Company X last year?

1.) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X.

The answer breaks down like this:

1.08c=1.5t or c/t=1.5/1.08.

in order to do percent change, however, wouldn't we need to do c + 1.08c = t + 1.5t?

I'm missing something and it's driving me nuts :)

Thanks!
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Source: — Problem Solving |

by shankar.ashwin » Wed Feb 22, 2012 2:23 am
kalifalk wrote:
The answer breaks down like this:

1.08c=1.5t or c/t=1.5/1.08.

in order to do percent change, however, wouldn't we need to do c + 1.08c = t + 1.5t?

I'm missing something and it's driving me nuts :)

Thanks!
A 8% increase signifies 1.08 times the value...

But, c + 1.08 = 2.08 = 108% increase
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