Question

The following pie-chart shows the amount collected by a shopkeeper by selling four different food items in degrees. The total amount collected is Rs.64,800. Find the average amount collected from the sales of Bengali dishes, Punjabi dishes and Gujarati dishes.

• A. Rs.21,190
• B. Rs.11,190
• C. Rs.21,109
• D. Rs.17,064

Hint:

To find the value of a sector in a pie chart: Value = \( (\text{Angle of Sector} / 360^{\circ}) \times \text{Total Value} \).

Answer 1

The Correct Option is D

Step 1: Find the total angle for the three specified dishes. From the chart: Bengali = 58.2\(^{\circ}\), Punjabi = 125.4\(^{\circ}\), Gujarati = 100.8\(^{\circ}\).
Total Angle = \(58.2 + 125.4 + 100.8 = 284.4^{\circ}\).
Step 2: Calculate the total amount collected for these three dishes. Total Amount = \( \left( \frac{\text{Total Angle}}{360^{\circ}} \right) \times \text{Total Collection} = \left( \frac{284.4}{360} \right) \times 64800 \).
Total Amount = \( 0.79 \times 64800 = 51192 \).

Step 3: Calculate the average amount for these three dishes.
Average = \( \frac{\text{Total Amount}}{3} = \frac{51192}{3} = 17064 \).
The average amount is Rs.17,064.