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%
In an another company P, if the number of employees who prefer travelling by Metro is 25% more than the number of employees who prefer travelling by Metro from company B and the number of employees who prefer travelling by metro from company P is 45% of the total number of employees in that company, then the total number of employees in company E is _______________ % less than the total number of employees in company P.
Given:
The number of employees preferring metro in Company P = 25% more than the number of employees preferring metro in Company B
Calculation:
Employees using metro in Company B = (78 * 60)/5 = 936
The number of employees preferring metro in Company P = 1.25 * 936 = 1170
Let the total number of employees in Company P be "m".
The number of employees preferring metro in Company P;
⇒ 0.45m = 1170
⇒ m = 2600
Total number of employees in Company P = 2600
Total employees in Company E = 22000 ÷ 12.5 = 1760
Percentage difference = [(2600 - 1760 ) ÷ 2600] × 100 = 840 ÷ 13 = 32 \(\dfrac{4}{13}\)
∴ The total number of employees in Company E is approximately 32 \(\dfrac{4}{13}\) % less than the total number of employees in Company P.
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