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: Sum the angles for the specified dishes.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: Compute the total amount collected.Total Amount = \( \left( \frac{284.4}{360} \right) \times 64800 \).
Total Amount = \( 0.79 \times 64800 = 51192 \).

Step 3: Determine the average amount.Average = \( \frac{51192}{3} = 17064 \).
The average amount is Rs.17,064.