UCAT Question Analysis - Decision Making Question 47
Salaries of different groups of employees:
Average salary of the 3000 employees: $2000
Average salary of men: $3000
Average salary of women: $1500
Average salary of the least well paid women (10% of the women): $1000
Salary of the highest paid male employee: $10000
From the above data, which of the following MUST be true?
A. There are more male employees than female employees
B. The highest paid employee is a man
C. The 10% of women who are leastwell paid earn less than 4% of the total payroll
D. The least well paid man earnsless than the least well paid woman
Answer: C
Explanation
1. The total payroll is $6,000,000($3000*2000). Let the percentage of male employees be x,
6,000,000 = 3000*(3000x+1500(1-x))
2000 = 3000x+1500(1-x)
500 = 1500x
x = 33.3333% = 1/3
2. 1/3=men, 2/3 women, i.e. 1000 men and 2000 women. Option A is incorrect
3. Number of the women who areleast well paid=200
3.1. The total payroll of these 200 women= $200,000
3.2. 200,000/6,000,000 = 0.03333 = 3% (i.e. <4%)
4. Options B and D are incorrect as they cannot be determined based purely on averages involving so many people.
Drafted by Quincy (UCAT Prep)