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, if the number of employees increased by 20% from December 2021 to December 2022 and 20% of the total number of employees in December 2022 are Science Graduates, then the number of employees who are Science Graduates in December 2022, is:
336
This problem deliberately overrides the table's Science percentage with a new figure given inside the question, so the key skill is reading the question carefully rather than reflexively using the tabulated 29%.
Company B had 1400 employees in December 2021. A 20% increase over the year gives the December 2022 total:
Dec 2022 total = 1400 × (1 + 0.20) = 1400 × 1.20 = 1680 employees.
The question then supplies a fresh condition: 20% of the December 2022 workforce are Science graduates. This 20% is not the old 29% from the table — it is the value we must use. Hence:
Science graduates in Dec 2022 = 20% × 1680 = 336.
The value 588 comes from applying the table's 29% to some inflated base (roughly 29% of a 20%-grown figure), i.e. mixing the old percentage with the new growth. The value 532 corresponds to 28%-type or reversed manipulations, and 504 arises from applying 20% to the wrong base such as 2520 or from adding the growth twice. Only 20% of the correctly grown total, 1680, yields the exact figure.
Correct answer: 336
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