Question

In an office, the average salary of the employees is rs 8,000. If the average salary of all the 50 clerks is rs 3,000 and the average salary of all the managers is rs 10,000, find the difference in the number of clerks and the number of managers

Answer 1

let the total employees be x

∴ the average salary of the x employees is rs 8,000.

∴ the total salary of the x employees is =rs 8,000x.

now the nos of managers =x - 50

∴ the total salary of the x - 50  managers  is =rs 10,000 [x -50]

=10,000x-500000

average salary of all the 50 clerks is rs 3,000

∴ the total salary of the  50  clerks is rs 3,000*50 =Rs 150000

ATP

the total salary of the x employees = [ the total salary of the  50  clerks  + the total salary of the x - 50  managers ]

⇒ 8,000x. = [ Rs 150000 + Rs 10,000x-500000 ]

⇒ 8,000x. =  Rs 10,000x -350000

⇒  350000=  Rs 10,000x -8,000x

⇒  350000=  Rs 10,000x -8,000x

⇒  350000=  Rs 2000x

⇒ x =Rs 350000 / Rs 2000

⇒ x = 175 total nos of employees

now the nos of managers =x - 50 = 175 - 50 =125

the difference in the number of clerks and the number of managers

=125 - 50 =75 ANS