A pie chart represents the annual operating budget of a dairy plant with total allocation of $\text{Rs. } 120\text{ lakh}$. The sector central angles are: Raw Milk Procurement = $180^\circ$, Energy & Utilities = $72^\circ$, Packaging = $54^\circ$, Labor = $36^\circ$, and Maintenance = $18^\circ$. The expenditure on Raw Milk Procurement exceeds the combined expenditure on Packaging and Labor by:
Options:
(A) Rs. 25 lakh
(B) Rs. 30 lakh
(C) Rs. 35 lakh
(D) Rs. 40 lakh
Answer Key:
B
Step-by-Step Solution & Explanation
1. Angle for Raw Milk Procurement $= 180^\circ$.
2. Combined angle for Packaging and Labor $= 54^\circ + 36^\circ = 90^\circ$.
3. Difference in central angle $= 180^\circ - 90^\circ = 90^\circ$.
4. Monetary difference:
$\text{Difference} = \frac{90^\circ}{360^\circ} \times 120\text{ lakh} = \frac{1}{4} \times 120 = \text{Rs. } 30\text{ lakh}$