CAT 2024 Slot 2 QA Question 14: A company has 40 employees whose names are listed in a certain order. In the year 2022, the average bonus of the first 30 employees was Rs. 40000, of the last 30 employees was Rs. 60000, and of the fi

Question

A company has 40 employees whose names are listed in a certain order. In the year 2022, the average bonus of the first 30 employees was Rs. 40000, of the last 30 employees was Rs. 60000, and of the fi

Accepted Answer

Divide the employees into four blocks of $10$ employees each. Let their average bonuses in 2022 be $A$, $B$, $C$ and $D$.
$\dfrac{A+B+C}{3} = 40000$
$\dfrac{B+C+D}{3} = 60000$
$\dfrac{A+D}{2} = 50000$
$A+B+C = 120000$
$B+C+D = 180000$
$A+D = 100000$
Adding the first two equations,
$A + 2B + 2C + D =