CAT 2025 Question Paper | Quant Slot 3

CAT Questions

CAT 2025 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 12 : 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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Video Explanation

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Explanatory Answer

Total number of employees \(=5+25=30\).

Initial average salary = ₹60000.
Therefore, initial total salary:
\[ 30\times60000=₹1800000 \]

After the managers receive a 20% increase, the overall average increases by 5%.
New average salary:
\[ 60000\times1.05=₹63000 \]
New total salary:
\[ 30\times63000=₹1890000 \]

Increase in total salary:
\[ 1890000-1800000=₹90000 \]
This increase is 20% of the total salary of the 5 managers.
Therefore, initial total manager salary:
\[ \frac{90000}{0.20}=₹450000 \]

Initial total engineer salary:
\[ 1800000-450000=₹1350000 \]
Average salary of engineers:
\[ \frac{1350000}{25}=₹54000 \]

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The answer is '54000'

Choice 1 is the correct answer.

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