SBI PO Prelims 4 Aug 2025 Shift 1 Paper

Concept:Profit share is proportional to the product of investment amount and time period (investment-months).Explanation:Let the initial investments be $3x$ (Samay) and $5x$ (Sagar).Samay adds $10\%$ of $3x = 0.3x$ after 3 months, so he invests $3x$ for 3 months and $3.3x$ for 9 months.Samay’s total investment-months = $3x \times 3 + 3.3x \times 9 = 9x + 29.7x = 38.7x$.Sagar withdraws $15\%$ of $5x = 0.75x$ after 8 months, so he invests $5x$ for 8 months and $4.25x$ for 4 months.Sagar’s total investment-months = $5x \times 8 + 4.25x \times 4 = 40x + 17x = 57x$.Profit ratio (Samay : Sagar) = $38.7x : 57x = 38.7 : 57$.Multiply by 10: $387 : 570$. Simplify by dividing by 3: $129 : 190$.Samay gets 129 parts = Rs. 12900, so each part = Rs. 100.Sagar’s share = $190 \times 100 =$ Rs. 19000.Answer:A. Rs. 19000