The table shows, for companies A–E, the number of employees who use their own…
2023
The table shows, for companies A–E, the number of employees who use their own vehicle and the percentages who use Metro or bus to reach the office. These are the only three transport modes.
Company-wise distribution of employees by transport mode
Company | Own vehicle (count) | Metro (%) | 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 Metro from companies D and E together and the number who prefer bus from companies A, D and E together?
Answer: B. 1162 — CONCEPTWhen one transport mode is given as a count and the other modes are percentages, first find the remaining percentage for the counted mode. If a count…
- A.
1142
- B.
1162
- C.
1122
- D.
1194
Show answer & explanation
Correct answer: B
CONCEPT
When one transport mode is given as a count and the other modes are percentages, first find the remaining percentage for the counted mode. If a count represents r%, then total = count ÷ (r/100); a mode-specific count = total × its percentage/100.
APPLICATION
Company A: the own-vehicle share is 100% − 68% − 24% = 8%. Hence total employees = 184 ÷ 0.08 = 2300, and the bus count is 2300 × 24% = 552.
Company D: the own-vehicle share is 100% − 70% − 16% = 14%. Hence total employees = 182 ÷ 0.14 = 1300; Metro count = 1300 × 70% = 910, and bus count = 1300 × 16% = 208.
Company E: the own-vehicle share is 100% − 72.5% − 15% = 12.5%. Hence total employees = 220 ÷ 0.125 = 1760; Metro count = 1760 × 72.5% = 1276, and bus count = 1760 × 15% = 264.
Metro employees from D and E together = 910 + 1276 = 2186.
Bus employees from A, D and E together = 552 + 208 + 264 = 1024.
Required difference = 2186 − 1024 = 1162.
CROSS-CHECK
The residual shares reproduce the given own-vehicle counts: 2300 × 8% = 184, 1300 × 14% = 182, and 1760 × 12.5% = 220. Therefore the reconstructed totals and the resulting difference are internally consistent.
The required difference is 1162.