7) Five office workers have a mean monthly average salary of $28,000. Three more people join the company, the mean average salary is now $30,000. Given the three new workers have salaries in the ratio 3:5:6 find their salaries.
Answers
Answer:
$21429, $35714, $42857
Step-by-step explanation:
Find the total salary of the 5 workers:
Average = $28000
Total = 28000 x 5
Total = $140000
Find the total salary of the 8 workers:
Average = $30000
Total = 30000 x 8
Total = $240000
Find the total salary of the 3 new workers:
Total Salary of the 3 = 240000 - 140000
Total Salary of the 3 = $100000
Find their salaries:
Their ratio = 3 : 5 : 6
Total units = 3 + 5 + 6 = 14
14 units = $100000
1 unit = 100000 ÷ 14 = 50000/7
3 units = 50000/7 x 3 = $21429
5 units = 50000/7 x 5 = $35714
6 units = 50000/7 x 6 = $42857
Answer: $21429, $35714, $42857
Answer:
$21,428.55, $35,714.25, $42,857.10.
Step-by-step explanation:
Mean salary of five workers = $28,000
Mean salary of eight workers = $30,000
Total salary of five employees = $(28,000 x 5)
= $ 1,40,000
Total salary of eight people = $(30,000 x 8)
= $ 2,40,000
Salary of the three new employees = $(2,40,000 - 1,40,000)
= $ 1,00,000
Ratio of salaries of three employees = 3:5:6
Let the salaries of three employees be = 3x, 5x and 6x
ATQ,
3x + 5x + 6x = 1,00,000
14x = 1,00,000
x = 1,00,000/14
x = 7,142.85
Now,
3x = $21,428.55
5x = $35,714.25
6x = $42,857.10
Hence, their salaries were $21,428.55, $35,714.25, $42,857.10.