s share of profit is $\\frac{4}{9}$: $\\frac{8x}{30000 + 8x} = \\frac{4}{9}$ $9(8x) = 4(30000 + 8x) \\implies 72x = 120000 + 32x \\implies 40x = 120000 \\implies x = \\frac{120000}{40} = 3000$ **2. Option Analysis**: - **Option (A) [2500] is INCORRECT**: Arithmetic error. - **Option (B) [3000] is CORRECT**: Exactly matches $x = \\text{Rs. } 3000$. - **Option (C) [4687] is INCORRECT**: Calculation mistake. - **Option (D) [8437] is INCORRECT**: Calculation mistake. **3. Final Answer**: - **Correct Choice**: **B**", "url": "https://gate-bt.thinkextra.in/pyq/gate-bt-2022-q7#solution", "author": { "@type": "Organization", "name": "ThinkExtra GATE BT Editorial Board", "url": "https://gate-bt.thinkextra.in" } } } }