There are 450 corona patients in the hospital. In the hospital, due to the spreading of the corona, the number of the patient increased by 200. After this, the expenses for the hospital were increased by 4500/- per day while the average expenditure per head decreased by Rs. 120. What was the total initial expenditure of the hospital?

There are 450 corona patients in the hospital. In the hospital, due to the spreading of the corona, the number of the patient increased by 200. After this, the expenses for the hospital were increased by 4500/- per day while the average expenditure per head decreased by Rs. 120. What was the total initial expenditure of the hospital? Correct Answer Rs. 185,625

Given:

Total corona patient in the hospital = 450

Number of patient increased by = 200

Increments in expenditure of the hospital = Rs. 4500 per day

Decrement in the average expenditure of each person = Rs. 120 per person

Formula used:

Average = the sum of all numbers/total number

Calculation:

Total corona patient in the hospital = 450

Let the initial average expenditure of the hospital be Rs. x

The sum of their expenditure = 450 × x = Rs. 450x

Due to the spreading of corona,

Now the total corona patient in the hospital = 450 + 200 = 650

Increments in expenditure of the hospital = Rs. 4500 per day

So now the sum of their expenditure = Rs. (450x + 4500)

Then now average expenditure of each member = (450x + 4500)/650

But there is decrement of Rs. 120 in the average expenditure of each patient

Then,

⇒ x – 120 = (450x + 4500)/650

⇒ 650x – 78000 = 450x + 4500

⇒ 200x = 82500

⇒ x = 412.5

Now the total initial expenditure of the hospital = 450x = 450 × 412.5 = Rs. 185,625