say num of clerks = x
num of managers = y
num of executives = p
avg salary of clerk = 3000
avg salary of managers = 6000
avg salary of executives= 10000
now avg salary of clerks and managers = 4000
total clerks and managers = x + y
sum of clerks salary = 3000x
sum of managers salary = 6000y
3000x + 6000y / (x+y) = 4000
3000x + 6000y = 4000x + 4000y
x=2y
y = x/2
avg salary of clerks and executives = 5000
sum fo executives salary = 10000p
total clerks and executives = x + p
3000x + 10000p /(x+p) = 5000
3000x + 10000p = 5000p + 5000x
5p = 2x
p = (2/5) x
the ratio of x:y:p = x: (x/2) : (2/5)x
10x : 5x : 4x
ans E
ExpertsGlobal5
In an office, there are three types of employees - clerks, managers, and executives. The average salary of the clerks is $3,000, the average salary of the managers is $6,000, and the average salary of the executives is $10,000. If the average salary of clerks and managers is $4,000 and the average salary of clerks and executives is $5,000, what is the ratio of clerks : managers : executives in the office?
A. 5:2:1
B. 5:2:3
C. 10:4:3
D. 10:5:2
E. 10:5:4
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