The number of male employees in city C is approximately what percent more than…

Concept

When a total is divided in a given ratio, each share equals the total multiplied by that part divided by the sum of the ratio parts.

To find how much one quantity is more than another in percentage terms, use: percentage more = (difference ÷ comparison quantity) × 100.

Application

1. The male-to-female ratio is 9:7, so the total has 16 parts. Male employees = 80,000 × 9/16 = 45,000, and female employees = 80,000 × 7/16 = 35,000.

2. City C has 20% of all employees: 80,000 × 20/100 = 16,000 employees.

3. City C has 16% of all female employees: 35,000 × 16/100 = 5,600 female employees.

4. Therefore, male employees in city C = 16,000 − 5,600 = 10,400.

5. City F has 27% of all female employees: 35,000 × 27/100 = 9,450 female employees.

6. Percentage more = ((10,400 − 9,450) ÷ 9,450) × 100 = (950 ÷ 9,450) × 100 ≈ 10.05%.

Cross-check

A 10% increase on 9,450 is 945, and 9,450 + 945 = 10,395, which is very close to 10,400; the small difference comes from rounding to the nearest option.

Therefore, the required approximate percentage is 10%.