In a group of 60 workers, the average monthly income per worker is ₹28,000. If 20 junior workers average ₹18,000 each, what is the average monthly income (in ₹) for the senior workers?

The correct option is ₹33,000.

To find the average monthly income of the senior workers, we can calculate the total earnings of all workers and subtract the total earnings of the junior workers.

Step 1: Calculate the total monthly income of all 60 workers.
We are given that the total number of workers is 60 and their overall average monthly income is ₹28,000.

$\text{Total Income}=\text{Total Workers}\times \text{Overall Average Income}$

$\text{Total Income}=60\times 28000=\text{₹1,680,000}$

Step 2: Calculate the total monthly income of the junior workers.
There are 20 junior workers, and their average monthly income is ₹18,000.

$\text{Junior Workers' Total Income}=20\times 18000=\text{₹360,000}$

Step 3: Determine the number of senior workers and their total monthly income.
The number of senior workers is:
$60-20=40\text{senior workers}$
The total monthly income for the senior workers is:
$\text{Senior Workers' Total Income}=\text{₹1,680,000}-\text{₹360,000}=\text{₹1,320,000}$

Step 4: Calculate the average monthly income for the senior workers.

$\text{Average Senior Income}=\frac{\text{Senior Workers' Total Income}}{\text{Number of Senior Workers}}$

$\text{Average Senior Income}=\frac{1320000}{40}=\text{₹33,000}$

Thus, the average monthly income for the senior workers is ₹33,000.