Question Bank • QB_GA_QA_013 MSQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

An agricultural enterprise allocates its annual operating capital of $\text{Rs. } 60\text{ lakh}$ across three divisions: Soil Conservation ($S$), Crop Production ($C$), and Farm Machinery ($M$) in the ratio $S : C : M = 3 : 5 : 4$. Which of the following statements is/are correct?

Options:

  • (A) The financial allocation for Crop Production is Rs. 25 lakh.
  • (B) The allocation for Farm Machinery exceeds that of Soil Conservation by Rs. 5 lakh.
  • (C) The combined allocation for Soil Conservation and Farm Machinery equals the allocation for Crop Production.
  • (D) Crop Production receives more than 40% of the total operating capital.

Answer Key:

A, B, D

Step-by-Step Solution & Explanation

1. Sum of ratio parts $= 3 + 5 + 4 = 12$ parts. 2. Value per part $= \frac{60\text{ lakh}}{12} = \text{Rs. } 5\text{ lakh}$. • $S = 3 \times 5 = \text{Rs. } 15\text{ lakh}$ • $C = 5 \times 5 = \text{Rs. } 25\text{ lakh}$ • $M = 4 \times 5 = \text{Rs. } 20\text{ lakh}$ 3. Evaluation of statements: • A: $C = 25\text{ lakh}$ (Correct). • B: $M - S = 20 - 15 = 5\text{ lakh}$ (Correct). • C: $S + M = 15 + 20 = 35\text{ lakh} \ne 25\text{ lakh}$ (Incorrect). • D: Share of $C = \frac{25}{60} \times 100\% \approx 41.67\% > 40\%$ (Correct).
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