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?
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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.
Step 1: Obtain the angles from the chart: Chinese dish = 75.6\(^{\circ}\), Bengali dish = 58.2\(^{\circ}\). Step 2: Calculate the percentage difference using the angles. The amount is proportional to the angle, so we compare the angles. 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 = \( 0.2989... \times 100 \approx 29.9% \). Approximately 30%.
