UPSC CDS 1 2022 Math Paper

Concept:Find the difference between the sum of allocations for groups (A & C) and (B, D & E) by converting percentages to actual amounts from the total budget.Explanation:Total budget = ₹300.4 lakhs.Allocation percentages: A = 40%, B = 18%, C = 9%, D = 25%, E = 8%.Calculate each amount:A = $\frac{40}{100} \times 300.4 = 120.16$ lakhs.B = $\frac{18}{100} \times 300.4 = 54.072$ lakhs.C = $\frac{9}{100} \times 300.4 = 27.036$ lakhs.D = $\frac{25}{100} \times 300.4 = 75.1$ lakhs.E = $\frac{8}{100} \times 300.4 = 24.032$ lakhs.Sum for A and C = $120.16 + 27.036 = 147.196$ lakhs.Sum for B, D and E = $54.072 + 75.1 + 24.032 = 153.204$ lakhs.Difference = $153.204 - 147.196 = 6.008$ lakhs.Thus, the amount allocated to A and C together is ₹6.008 lakhs less than that to B, D and E together.Answer:₹6.008 lakhs (Option C).