Correct option is B
Given:
Current savings = 15,000
Total expenses = 12,000 + 8,000 + 20,000 + 4,000 + 3,000 + 10,000 + 5,000 + 15,000 + 6,000 + 7,000
Increase in savings = 20% of 15,000
Concept Used:
The angle corresponding to any category in a pie chart is given by:
Angle = (Category Value / Total Value) × 360
The increase in savings will lead to a new calculation for its angle, and the change in angle is found by subtracting the original angle from the new one.
Formula Used:
New Savings = Old Savings + 0.2 × Old Savings
Change in Angle = New Angle - Old Angle
Solution:
Calculate Total Expenses:
12,000 + 8,000 + 20,000 + 4,000 + 3,000 + 10,000 + 5,000 + 15,000 + 6,000 + 7,000 = 90,000
Original Angle for Savings:
(15,000 / 90,000) × 360 = 60°
New Savings Amount:
15,000 + (0.2 × 15,000) = 18,000
New Angle for Savings:
New total expenses remain 90,000 (since 3,000 is shifted within the same total).
(18,000 / 90,000) × 360 = 72°
Change in Angle:
72° - 60° = 12°
Final Answer: (b) 12°
