In a company, the average monthly salary of Managers is 43000, that of Executives is 32000
and that of Workers is 24000. The average monthly salary of Managers and Executives com
bined is 35000 and that of Executives and Workers combined is 26000. What fraction of the
workforce is made up of Workers?
Answers
Answer: Let the proportion of managers = x
then the proportion of executives = 1-x
According to the question
43000*x + 32000*(1-x) = 35000
43000x + 32000 - 32000x = 35000
11000x = 3000
x = 3000/11000
x = 3/11
Therefore the ratio of managers to executives = 3/11 : (1-3/11)
= 3/11:8/11
= 3:8
<<<<<<<<<<<<<<<<<<<<
Let the proportion of executives = x
then the proportion of workers = 1-x
According to the question
32000*x + 24000*(1-x) = 26000
32000x + 24000 - 24000x = 26000
8000x = 2000
x = 2000/8000 = 1/4
Therefore the ratio of executives to workers = 1/4:(1-1/4)
= 1/4:3/4
= 1:3
>>>>>>>>>>>>>>>>>>>>
The ratio of managers:executives = 3:11
The ratio of executives:workers = 1:3
The ratio of managers:executives:workers = 3:11:(3*11)
= 3:11:33
The proportion of managers in the workforce = 3/(3+11+33) = 3/47
that of executives = 11/47 and workers = 33/47
Hope it helps!
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Answer:
(43a+32b) /a+b =35
a/b=3/8
(32b+24c)/b+c =26
6b=2c
b/c =2/6 =1/3
Step-by-step explanation:
so final ans is 3/8/24= a/b/c