Question

The average collection in a cinema hall in a week was Rs. 8,224. The average collection in six days except Friday is Rs.8,094. What was the collection on Friday?

• A. Rs. 9,100
• B. Rs. 9,004
• C. Rs. 8,012
• D. Rs. 8,004

Hint:

Collection on Friday $= (7 \times \text{Avg}_7) - (6 \times \text{Avg}_6) = 57568 - 48564 = 9004$.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Total collection equals the product of the number of days and the mean daily collection.

Step 2: Key Formula or Approach:
1. Total collection for the full week (7 days):
\[\text{Total}_{7} = 7 \times 8224 = \text{Rs. } 57,568\] 2. Total collection for 6 days excluding Friday:
\[\text{Total}_{6} = 6 \times 8094 = \text{Rs. } 48,564\]

Step 3: Detailed Explanation:
3. Collection on Friday:
\[\text{Friday Collection} = \text{Total}_{7} - \text{Total}_{6} = 57568 - 48564 = \text{Rs. } 9,004\]

Step 4: Final Answer:
Therefore, the collection on Friday was Rs. 9,004.