2
Using formula: Value = (72°/360°) × 50,000
3
= (1/5) × 50,000 = ₹10,000
Alternate Quick Method: 72° = 20% (using 36° rule), so 20% of 50,000 = ₹10,000
Worked Example 2: In a pie chart showing student preferences, Cricket gets 126°, Football gets 90°, Hockey gets 54°. What percentage more students prefer Cricket over Hockey?
1
Cricket = 126°, Hockey = 54°
2
Difference = 126° - 54° = 72°
3
72° = 20% (using shortcut)
4
Hockey percentage = 54°/360° = 15%
5
Cricket percentage = 126°/360° = 35%
6
Cricket is 35% - 15% = 20% more than Hockey
Shortcut #3 - The Remainder Trick: When some sectors are given and you need to find the remaining sector, don't calculate each percentage. Simply subtract given angles from 360°. If three sectors are 80°, 120°, and 70°, the fourth sector is 360° - 270° = 90°