The following table shows the number of employees working in five different companies A-E in December, 2021 along with the percentage distribution of Science, Commerce and Arts Graduates among them. Based on the data in the table, answer the questions that follow. Company-wise Details of Employees Number of Employees Note: (1) Employees of all five companies can be categorised only in three types of Graduates: Science, Commerce and Arts. (2) Some values are missing in the table (indicated by ‘-’) that you are expected to calculate if required.Company Science (%) Commerce (%) Arts (%) A 2100 32% - - B 1400 - 31% 40% C - 30% 30% - D - - 40% 20% E - 35% 50% -
In company B, the difference between the number of employees who are Graduates in Arts and Graduates in Science is:
154
This is a data-interpretation item based on the percentage distribution of graduates (Commerce, Arts, Science) across companies. Company B employs a total of 1400 people, and the three streams must together account for 100% of that workforce, so any missing stream is found by subtraction.
From the table, Company B has Commerce = 31% and Arts = 40%. Since the three streams are exhaustive, Science = 100% − 31% − 40% = 29%. Converting the two required percentages into head-counts on the base of 1400:
- Arts graduates = 40% × 1400 = 560
- Science graduates = 29% × 1400 = 406
The question asks for the difference between Arts graduates and Science graduates: 560 − 406 = 154. Note that because both figures share the same base (1400), the difference can also be read directly from the percentage gap: (40% − 29%) × 1400 = 11% × 1400 = 154, which confirms the result.
The values 174 and 178 correspond to using an incorrect Science or Arts percentage (for example, misreading 28% or 27% instead of 29%). The value 146 arises from a percentage-gap error such as taking a 10.4%-type slice or mis-picking a neighbouring column. Only 11% of 1400 gives the exact matching figure.
Correct answer: 154
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