Multiple choice

A invest (1/6) part of the total capital for (1/6) time. B invest (1/3) part of total capital for (1/3) time and C invest the rest capital for full time. If the total profit is Rs.69000, find the share of B A कुल पूँजी का (1/6) भाग (1/6) समय के लिए निवेश करता है | B कुल पूँजी का (1/3) भाग (1/3) समय के लिए निवेश करता है और C शेष पूँजी को पूरे समय के लिए निवेश करता है | यदि कुल लाभ 69000 रु. है | B का हिस्सा ज्ञात कीजिये |

  1. Rs./रु.10000

  2. Rs./रु.12000

  3. Rs./रु.15000

  4. Rs./रु.18000

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B Correct answer
Explanation

Profit is proportional to capital × time. A: (1/6) × (1/6) = 1/36. B: (1/3) × (1/3) = 1/9 = 4/36. C invests remaining: 1 - 1/6 - 1/3 = 1/2 capital for full time = 1/2 = 18/36. Ratio A:B:C = 1:4:18. B's share = (4/23) × 69000 = 12000.