SBI PO Prelims 8 Mar 2025 Shift 3 Paper

Concept:Profit is shared in the ratio of weighted capital (investment × time); charity is deducted before distribution, but A’s total includes his share plus the charity amount.Explanation:A’s capital pattern: Rs. $2000$ for first $4$ months, Rs. $3000$ for next $4$ months, Rs. $4000$ for last $4$ months.B’s capital pattern: Rs. $3000$ for first $6$ months, Rs. $4000$ for next $6$ months.Compute weighted capital:A: $(2000 \times 4) + (3000 \times 4) + (4000 \times 4) = 8000 + 12000 + 16000 = 36000$B: $(3000 \times 6) + (4000 \times 6) = 18000 + 24000 = 42000$Ratio $= 36000 : 42000 = 6 : 7$Total separated amount (after charity) $= \text{Rs. } 26000$A’s share from separated amount $= 26000 \times \frac{6}{13} = \text{Rs. } 12000$Given that A’s total including charity $= \text{Rs. } 15000$Hence, charity $x = 15000 - 12000 = \text{Rs. } 3000$Answer:Rs. $3000$ (Option C)