According to the stock policy of a company, each employee in the technical…
2024
According to the stock policy of a company, each employee in the technical division is given 15 shares of the company and each employee in the recruitment division is given 10 shares. Employees belonging to both Communities get 25 shares each. There are 20 employees in the company and each one belong to at least one division. The cost of each share is $10. If the technical division 15 employees and the recruitment division has 10 employees, then what is the total cost of the shares given by the company?
- A.
3120
- B.
3250
- C.
2650
- D.
3180
Attempted by 191 students.
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Correct answer: B
Answer: 3250
Key idea: Use inclusion–exclusion to find how many employees belong to both divisions.
Number in both divisions = 15 (technical) + 10 (recruitment) − 20 (total) = 5.
Only technical = 15 − 5 = 10 employees.
Only recruitment = 10 − 5 = 5 employees.
Total shares = (both × 25) + (only technical × 15) + (only recruitment × 10) = (5 × 25) + (10 × 15) + (5 × 10) = 125 + 150 + 50 = 325 shares.
Total cost = 325 shares × $10 per share = $3250.