Three partners $A$, $B$ and $C$ entered into a business. $A$ invested one-third of the capital for one-third duration. $B$ invested one-fourth of the capital for one-fourth duration. $C$ invested the remaining capital for the whole duration. Out of a profit of ₹ $17,000$, how much profit will $C$ get?
Detailed Explanation:
Profit sharing in partnership = Capital × Time. Let total capital = K, total duration = T.
A's share: (K/3) × (T/3) = KT/9 | B's share: (K/4) × (T/4) = KT/16 | C's share: [K - K/3 - K/4] × T = (5K/12) × T = 5KT/12.
Ratio A : B : C = 1/9 : 1/16 : 5/12. Multiplying by LCM(9,16,12) = 144 → 16 : 9 : 60. Total parts = 85.
C's profit = (60/85) × 17,000 = 60 × 200 = ₹12,000. Therefore, Option 1 is the correct answer.
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