Possible Weighted Average Problems in Disguise

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A survey of employers found that during 93 employment costs rose 3.5 %. where employment costs consist of salary costs and fringement costs. If salary costs rose 3 % and fringe benefit cots rose 5.5% during 1993, the fringe benefit costs represented what % of employment costs as the beginning of 93.

a. 16.5
b. 20
c. 35
d. 55
e. 65

The correct answer is B and the problem is solved by creating two simulatenous equations

E = S + F
1.03 S + 1.055 F = 1.035 (S+F)
Solve the relationship between S and F and plugging in that into E = S + F equation. Then solve for ratio of F/E.

is there an easier way to solve this problem?

Another problem that was like this:

A certain company that sells only cars and trucks reported that revenues from car sales in 97 were down 11% from 96 and revenue from truck sales in 97 were up 7 % from 96. if total revenues from car sales and truck sales in 97 were up 1% from 96, what is the ratio of revenue from car sales in 96 to revenue from truck sales in 96?

a. 1:2
b. 4:5
c. 1:1
d. 3:2
e. 5:3

Correct Answer is A

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by karanrulz4ever » Sat Dec 04, 2010 9:30 pm
First question: Why do u need an easier way? I don't think the way u stated is difficult.

Second : The method of solving in pretty much the same as the method you stated.

96 revenues : c+t

97 revenues : 0.89c+1.07t

0.89c+1.07t = 1.01c + 1.01t

t = 2c

Car revenues / truck revenues = c / t = c / 2c = 1/2(A)