NinetynineCAT 2025 Slot 3 QA Q12 Ratio, Mixtures & Averages
Question 12 of the Quantitative Ability (QA) section, CAT 2025 Slot 3, with CAT's official answer and a worked solution.
The average salary of 5 managers and 25 engineers in a company is 60000 rupees. If each of the managers received 20% salary increase while the salary of the engineers remained unchanged, the average salary of all 30 employees would have increased by 5%. The average salary, in rupees, of the engineers is
- A54000
- B40000
- C45000
- D50000
Answer: (A) 54000 Ratio, Mixtures & Averages MCQ
Solution
- Total salary \(= 30 \times 60000 = 18{,}00{,}000\).
- The 20% raise to managers equals a 5% rise in the total: \(0.2M = 0.05 \times 18{,}00{,}000 = 90000\), so managers' total \(M = 4{,}50{,}000\).
- Engineers' total \(= 13{,}50{,}000\); average \(= 13{,}50{,}000 / 25 = 54000\).