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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 th
Question

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?

A.

Rs. 19,200

B.

Rs. 18,000

C.

Rs. 18,800

D.

Rs. 17,700

Correct option is B


Formula Used: New Average = (Total sum of all incomes) / (Number of people)
Solution:
Total income of 35 employees = 35 × K = 35K Total income after including the manager = 36 × 19000 = Rs. 684000 Income of the manager = Rs. 54000 So, 35K + 54000 = 684000 => 35K = 684000 - 54000 = 630000 => K = 630000 / 35 = Rs. 18000 Therefore, the value of K is Rs. 18000.
Alternate Solution:
ATQ,
((35*K + 54000))/36= 19000
K = 18000

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