Question

How many employees of the Bank opted for VRS?
I. 22% of the 950 officer cadre employees and 16% of the 1100 other cadre employees opted for VRS.
II. 32% of the employees in the age group of 53 to 59 and 19% of the employees in all other age groups opted for VRS.

• A. If the statement I alone is sufficient to answer the question.
• B. If the statement II alone is sufficient to answer the question.
• C. If the statements I and II together are sufficient to answer the question but neither statement alone is sufficient.
• D. If the statements I and II together are not sufficient to answer the question and additional data is required.

Hint:

When dealing with percentage-based problems, calculate the percentage of each group separately and then add them together for the total.

Answer 1

The Correct Option is A

Let’s calculate the number of employees who opted for VRS based on the given information. - From condition I: - Number of officer cadre employees = 950. - 22% of these employees opted for VRS: \[ \frac{22}{100} \times 950 = 209 \, \text{employees} \] - Number of other cadre employees = 1100. - 16% of these employees opted for VRS: \[ \frac{16}{100} \times 1100 = 176 \, \text{employees} \] - Total number of employees who opted for VRS (from condition I) is: \[ 209 + 176 = 385 \, \text{employees} \] Thus, from condition I, 385 employees opted for VRS.
- From condition II:
- 32\ of employees in the age group of 53 to 59 opted for VRS.
- 19% of employees in all other age groups opted for VRS.
However, since we don't have the exact number of employees in each age group, we cannot calculate the total number of employees based on condition II alone.
Therefore, we conclude that the total number of employees who opted for VRS based on the information given in condition I is \( \boxed{385} \). Thus, the correct answer is \( \boxed{1} \).