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. The amount collected by selling Chinese dishes is approximately what percentage more than the amount collected by selling Bengali dishes?

• A. 30%
• B. 50%
• C. 20%
• D. 10%

Hint:

In pie chart problems, for percentage comparisons between sectors, you can work directly with the angles or percentages given, instead of calculating the absolute values. This is much faster.

Answer 1

The Correct Option is A

Step 1: Get the angles for Chinese and Bengali dishes from the chart.
Angle for Chinese = 75.6\(^{\circ}\).
Angle for Bengali = 58.2\(^{\circ}\).
Step 2: Calculate the percentage difference directly using the angles.
The amount is proportional to the angle, so we can compare the angles themselves.
Percentage More = \( \left( \frac{\text{Difference in Angles}}{\text{Base Angle}} \right) \times 100 \).
Percentage More = \( \left( \frac{75.6 - 58.2}{58.2} \right) \times 100 = \left( \frac{17.4}{58.2} \right) \times 100 \).
Percentage More = \( 0.2989... \times 100 \approx 29.9% \). This is approximately 30%.