Question

20 friends went to a movie theatre. The average cost of the movie ticket for 19 friends was 120. But one of the friends paid 38 more than the average cost for all the 20 friends. What was the total amount paid by all of them together?

• A. 2,438
• B. 2,440
• C. 2,204
• D. 2,140

Answer 1

The Correct Option is B

Calculating the Total Cost Paid by 20 Friends 

Step 1: Calculate the Total Cost Paid by 19 Friends

19 × 120 = 2,280

Step 2: Define the Average Ticket Price

Let the average ticket price for all 20 friends be x.

The 20th friend paid Rs 38 more than the average cost, i.e., x + 38.

Step 3: Set Up the Total Cost Equation

19 × 120 + (x + 38) = 20x

Step 4: Solve for x

2280 + x + 38 = 20x

2318 = 20x - x

2318 = 19x

x = 122

Step 5: Calculate the Total Amount Paid

20 × 122 = 2,440

Final Answer:

Thus, the correct answer is Rs 2,440 (Option B).