The table shows employees in five companies A to E in December 2021 and the percentage of Science, Commerce and Arts graduates (only these three types). Dashes are missing values to be calculated if required.
| Company | Employees | Science (%) | Commerce (%) | Arts (%) |
|---|---|---|---|---|
| A | 2100 | 32 | — | — |
| B | 1400 | — | 31 | 40 |
| C | — | 30 | 30 | — |
| D | — | — | 40 | 20 |
| E | — | 35 | 50 | — |
In Company A, if the ratio between the number of Commerce graduates and Arts graduates is 10:7, then the number of Arts graduate employees in the same company is
A532
B588 ✓ Correct
C560
D616
Correct answer: (B) 588
Explanation
The number of Arts graduate employees is 588, so the answer is 588.
Company A has 2100 employees with 32 percent Science graduates.
So the Commerce and Arts graduates together are 100 minus 32, which is 68 percent.
That is 2100 times 68 over 100, which is 1428 employees.
These split between Commerce and Arts in the ratio 10 to 7.
So the Arts share is 7 of 17 parts, which is 1428 times 7 over 17.
That equals 588.
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