SSC CHSL 12 Nov 2025 Shift 2 Paper

Concept:Profit is shared in proportion to the product of capital invested and the time period. When a partner changes their investment, calculate the time-weighted capital.Explanation:Let initial capitals of A, B, C be $2x$, $3x$, $4x$ respectively. A invests $2x$ for first 6 months. After 6 months, he increases capital by 50%, so new capital = $2x + 50\%\text{ of }2x = 3x$. He invests $3x$ for the remaining 18 months (total 24 months). Time-weighted investment of A: $(2x \times 6) + (3x \times 18) = 12x + 54x = 66x$. B invests $3x$ for full 24 months: $3x \times 24 = 72x$. C invests $4x$ for full 24 months: $4x \times 24 = 96x$. Profit ratio of A : B : C = $66x : 72x : 96x$. Divide by $6x$ to simplify: $11 : 12 : 16$. Sum of ratio parts = $11 + 12 + 16 = 39$. A’s share of total profit Rs. 90,000 = $\frac{11}{39} \times 90,000 = 25,384.615... \approx \text{Rs. } 25,384.62$.Answer:Rs. 25,384.62 (Option D)