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CAT 2025 Slot 3 QA Question 11

Multiple choice (+3 / −1) · Arithmetic · Mean, Median & Mode · Try it, then check the answer and solution below.

CAT 2025 Slot 3QAArithmetic • Mean, Median & ModeModerate
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
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Answer and solution

Answer: A) 54000

📌 Core Concept
The problem involves calculating the average salary of engineers using the given information about the average salary of all employees before and after a salary increase for managers. We use the concept of weighted averages and set up equations based on the total salaries.
🔢 Step-by-Step Solution
1
Total Salary Calculation:
Total employees = 5 managers + 25 engineers = 30 employees.
Average salary = ₹60,000.
Total salary = 30 × 60,000 = ₹1,800,000.
2
Define Variables:
Let $M = average salary of managers.
Let $E = average salary of engineers.
3
Equation from Total Salary:
\

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