20 students of a college went to a hotel. 19 of them spent ₹ 175 each on their meal and the 20^th student spent ₹19 more than the average of all the 20. Find the total money spent by them.

Correct option is C

Given:

19 students spent ₹175 each.

The 20th student spent ₹19 more than the average of all 20 students.

Concept Used:

Let the total money spent by all 20 students be T and the average amount spent by each student be A.

The 20th student spent = A + 19

Solution:

Total amount spent by 19 students:

Amount spent by 19 students = $$19 \times 175 = 3325$$​​

Let the total money spent by all 20 students be T.

The average amount spent by each student is:

​$$A = \frac{T}{20}$$​​

The 20th student spent A + 19:

The 20th student spent} = $$\frac{T}{20} + 19$$​​

Therefore, the total money spent by all students is:

T = $$3325 + \left(\frac{T}{20} + 19\right)$$​​

20T = 66500 + T + 380

19T = 66880

T = 3520

Therefore, the total money spent by all 20 students is ₹3,520.