The following table shows the number of employees of five companies A-E who…
2023
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 Transport
Company | Number of Employees who prefer their own Vehicles | Percentage of Employees who prefer Metro | Percentage 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 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.
Answer: A. 32 4/13% — ConceptWhen several categories exhaust a total, the missing share is 100% minus the known percentage shares. A category count divided by its share gives the…
- A.
32 4/13%
- B.
34 4/13%
- C.
38 4/13%
- D.
36 4/13%
Show answer & explanation
Correct answer: A
Concept
When several categories exhaust a total, the missing share is 100% minus the known percentage shares.
A category count divided by its share gives the total. In a ‘percent less than’ comparison, the quantity after ‘than’ is the reference base.
Application
In company B, the own-vehicle share is 100% − 60% − 35% = 5%, so B has 78 ÷ 0.05 = 1560 employees.
Metro users in B = 60% of 1560 = 936.
Metro users in P = 125% of 936 = 1170. Since this is 45% of P, P has 1170 ÷ 0.45 = 2600 employees.
In company E, the own-vehicle share is 100% − 72.5% − 15% = 12.5%, so E has 220 ÷ 0.125 = 1760 employees.
The difference is 2600 − 1760 = 840. Therefore, the required percentage is (840 ÷ 2600) × 100 = 420/13% = 32 4/13%.
Cross-check
The ratio E:P is 1760:2600 = 44:65. Thus E is short of P by 21 parts out of 65, and (21 ÷ 65) × 100 = 32 4/13%, confirming the result.
Result: 32 4/13%.