20% of a company's employees work part-time. The rest work full-time. At the end of the year, 20% of the full-time employees receive a bonus. If 48 employees received the bonus, how many employees does the company have?
A) 150
B) 600
C) 96
D) 300
E) 1200
IMAT 2026 · Question 8
Q8 - Problem solving
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The correct answer is D) 300.
Since 20% of employees work part-time, the remaining 80% work full-time. Only 20% of those full-time employeesreceive a bonus.
Therefore, the percentage of the entire company receiving a bonus is:
20% × 80% = 0.20 × 0.80 = 0.16 = 16%
We know that these 16% represent 48 employees. To find the total, divide 48 by 0.16:
Total employees = 48 ÷ 0.16 = 300
Check the result: 80% of 300 is 240 full-time employees, and 20% of 240 is 48 bonus recipients, as required.
This gives 240 full-time employees and exactly 48 bonus recipients.
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