The following table shows the number of employees working in five different…
2023
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
Company | Number of Employees | Science | Commerce | Arts |
|---|---|---|---|---|
A | 2100 | 32% | - | - |
B | 1400 | - | 31% | 40% |
C | - | 30% | 30% | - |
D | - | - | 40% | 20% |
E | - | 35% | 50% | - |
Note: (1) Employees of all the five companies can be categorised only in three types of Graduates, namely, Science, Commerce and Arts.
(2) Some values are missing in the table (indicated by '-') that you are expected to calculate if required.
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
Answer: C. 336 — CONCEPTA percentage change acts on the original quantity. After an increase of r%, the new quantity is original quantity multiplied by (1 + r/100). To find p%…
- A.
588
- B.
532
- C.
336
- D.
504
Show answer & explanation
Correct answer: C
CONCEPT
A percentage change acts on the original quantity. After an increase of r%, the new quantity is original quantity multiplied by (1 + r/100).
To find p% of that new quantity, multiply the new quantity by p/100. The two percentage operations are applied in sequence.
APPLICATION
Start with Company B’s December 2021 workforce: 1,400 employees.
Apply the 20% increase: 1,400 × (1 + 20/100) = 1,400 × 1.20 = 1,680 employees in December 2022.
Take 20% of the updated workforce: 1,680 × 20/100 = 1,680 × 0.20 = 336 Science Graduates.
CROSS-CHECK
Combining the factors gives 1,400 × 1.20 × 0.20 = 1,400 × 0.24 = 336, which agrees with the stepwise calculation. Therefore, the required number is 336.