Explanation:

Let the shares of A, B, and C be denoted by $A$, $B$, and $C$ respectively. **Step 1: Set up the total amount equation.** * The total amount divided is ₹1,875. * So, $A + B + C = 1875$. **Step 2: Use the first condition to find A's share.** * Condition 1: A's share is half of the combined share of B and C. * Mathematically: $A = \frac{1}{2}(B+C)$. * This implies $2A = B+C$. * Substitute $B+C = 2A$ into the total amount equation: * $A + (2A) = 1875$ * $3A = 1875$ * $A = \frac{1875}{3}$ * $A = 625$. * So, A's share is ₹625. **Step 3: Use the second condition to find B's share.** * Condition 2: B's share is one-fourth of the combined share of A and C. * Mathematically: $B = \frac{1}{4}(A+C)$. * This implies $4B = A+C$. * Substitute $A+C = 4B$ into the total amount equation: * $A + B + C = 1875$ * $(A+C) + B = 1875$ * $4B + B = 1875$ * $5B = 1875$ * $B = \frac{1875}{5}$ * $B = 375$. * So, B's share is ₹375. **Step 4: Calculate C's share.** * We know $A + B + C = 1875$. * Substitute the values of A and B: * $625 + 375 + C = 1875$ * $1000 + C = 1875$ * $C = 1875 - 1000$ * $C = 875$. * So, C's share is ₹875. **Step 5: Find the difference between C's share and A's share.** * The question asks: By what amount is C's share more than that of A? * Difference = $C - A = 875 - 625 = 250$. \nTherefore, C's share is ₹250 more than A's share. * **Option 1 (₹500):** This is incorrect. The difference is not ₹500. * **Option 2 (₹225):** This is incorrect. The difference is not ₹225. * **Option 3 (₹250):** This matches our calculated difference of ₹250. So, this is the correct answer. * **Option 4 (₹200):** This is incorrect. The difference is not ₹200.