The distribution of employees at the rank of executives, across different companies C1, C2, ..., C6 is presented in the chart given above. The ratio of executives with a management degree to those without a management degree in each of these companies is provided in the table above. The total number of executives across all companies is 10,000. The total number of management degree holders among the executives in companies C2 and C5 together is ________
Company Ratio C1 3:2 C2 1:4 C3 5:3 C4 2:3 C5 9:1 C6 3:4
To solve this problem, we need to find the number of management degree holders among the executives in companies C2 and C5.
First, let's identify the number of executives in each company using the pie chart percentages and the total number of executives (10,000).
- C2: 5% of 10,000 = 0.05 × 10,000 = 500 executives
- C5: 20% of 10,000 = 0.20 × 10,000 = 2,000 executives
Next, we'll use the given ratios to find the number of management degree holders:
- C2: The ratio of executives with management degrees to those without is 1:4.
This implies for every 1 executive with a degree, there are 4 without. The total parts = 1 + 4 = 5 parts.
The number of executives with degrees in C2 = \( \frac{1}{5} \) of 500 = \frac{1}{5} \times 500 = 100
- C5: The ratio of executives with management degrees to those without is 9:1.
This implies for every 9 executives with a degree, there is 1 without. The total parts = 9 + 1 = 10 parts.
The number of executives with degrees in C5 = \( \frac{9}{10} \) of 2,000 = \frac{9}{10} \times 2000 = 1800
Finally, the total number of management degree holders among the executives in companies C2 and C5 together is:
Total = 100 + 1800 = 1900
Therefore, the correct answer is 1900.
Important Questions from Pie Charts
In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid.
Based on the data provided, the total number of valid votes received by the candidates B and C is
The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years 2007 and 2023.
The renewable sources of electricity generation consist of Hydro, Solar and Wind. Assuming that the total electricity generated remains the same from 2007 to 2023, what is the percentage increase in the share of the renewable sources of electricity generation over this period?A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at these skill levels of total employment in 2010 is given in the pie chart as shown. There were a total of 600 employees in 2010 and the total employment increased by 15% from 2010 to 2016. The total employment at skill levels P, Q and R remained unchanged during this period. If the employment at skill level S increased by 40% from 2010 to 2016, how many employees were there at skill level T in 2016?
- 40% of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is
A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts.
What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III?
