The following table shows the number of employees of five companies A-E who prefer their own vehicle to reach office and percentage (%) of employees who prefer Metro and Bus to reach office. There are only three modes of transport as mentioned. Based on the data in the table, answer the questions that follow. Company wise Distribution of Employees Preferring Modes of TransportCompany Number of Employees who prefer their own Vehicles Number of Employees who prefer Metro Number of Employees who prefer Bus A 184 68% 24% B 78 60% 35% C 384 55% 30% D 182 70% 16% E 220 72.5% 15%
What is the difference between the number of employees who prefer travelling by Metro from companies D and E together and the number of employees who prefer travelling by bus from companies A, D & E together?
1162
Calculation:
The number of employees who prefer to travel by metro together from companies D and E = \(\dfrac{70 \times 182}{14} + \dfrac{72.5 \times 220}{12.5}\) = 2186
The number of employees who prefer to travel by bus together from companies A, D, and E \(\dfrac{24 \times 184}{8} + \dfrac{16 \times 182}{14} + \dfrac{15 \times 220}{12.5}\) = 1024
Difference = 2186-1024 = 1162
∴ The difference between the number of employees who prefer to travel by metro together from companies D and E and the number of employees who prefer to travel by bus together from companies A, D, and E is 1162.
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