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?
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?
Updated On: Mar 4, 2025
- 2,438
- 2,440
- 2,204
- 2,140
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The Correct Option is B
Solution and Explanation
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).
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