A company paid Rs. 6,00,000 as bonus to its employees at different levels A, B and C. Each employee at level A receives one and half times of the amount that was paid to each employee at level B and each employee at level B was paid twice the amount paid to the employee at level C. If 50 employees were on level A, 75 on level B and 100 on level C, how much amount was paid to each employee of level A ?

A company paid Rs. 6,00,000 as bonus to its employees at different levels A, B and C. Each employee at level A receives one and half times of the amount that was paid to each employee at level B and each employee at level B was paid twice the amount paid to the employee at level C. If 50 employees were on level A, 75 on level B and 100 on level C, how much amount was paid to each employee of level A ? Correct Answer Rs. 4,500

Given:

Total paid bonus = 6,00,000

Number of employees in level A = 50

Number of employees in level B = 75

Number of employees in level C = 100

Calculation:

Let bonus paid to each employee of A, B and C be x, y and z respectively

According to the question,

⇒ x = 3y/2      ----(1)

⇒ y = 2z      ----(2) 

From equation 1 and 2 we get

⇒ x = 3z      ----(3)

Now, according to question 

⇒ 50x + 75y + 100z = 600000

put values from equation 2 and 3 in above equation

⇒ 50(3z) + 75(2z) + 100z = 600000

⇒ 150z + 150z + 100z = 600000

⇒ z = 1500

The amount was paid to each employee of level A 

⇒ x = 3z

⇒ x = 3 × 1500 

⇒ x = 4500

∴ The amount Rs 4500 was paid to each employee of level A.

Related Questions

The given question is followed by two statements numbered I and II. The question may or may not be answered with the help of these statements. You have to decide if these statements are sufficient to answer the question. The four employees of a company have monthly salaries that total Rs. 30,000. What is the salary of the highest paid of these employees ? Statements: I. The highest paid employee has a monthly salary that is twice as great as that of each of the other three employees. Il. The highest paid employee has a monthly salary that is exactly Rs. 6000 greater than that of each of the other 3 employees.