The average income of 35 employees is Rs. K. If the income of manager is also included, then the average income becomes Rs. 19000. If the income of the manager is Rs. 54000, then what is the value of K?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Rs. 18,000.
Let the total income of the 35 employees be x
Since the average income of these 35 employees is Rs. K
⇒ x = 35K
If the income of the manager is also included, then the average income becomes Rs. 19000 = 36 × 19000
This total income includes the manager's income, which is Rs. 54000.
⇒ x + 54000 = 36 × 19000
Put x = 35K
⇒ 35K + 54000 = 36 × 19000
⇒ 35K + 54000 = 684000
⇒ 35K = 684000 - 54000
⇒ 35K = 630000
⇒ K = 630000/35
⇒ K = 18000
Thus, the value of K = Rs.18000