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UPSC CAPF (AC) 2024 Paper I · Question 60

Question 60 of the UPSC CAPF (AC) 2024 Paper I (4 August 2024). Try it first, then open the answer and explanation.

  1. CAPF 2024 · P-I · Q60 · General Mental Ability · Arithmetic

    In a partnership firm, A invests 1/6th of the total investment for 1/6th of the tenure. B invests 1/3rd of the total investment for 1/3rd of the tenure while C invests the remaining part for the full duration. Out of total profit of ₹46,00,000, what shall be C's share?

    1. ₹30,00,000
    2. ₹32,00,000
    3. ₹34,00,000
    4. ₹36,00,000

    एक भागीदारी फर्म में, A कुल निवेश के 1/6वें भाग को 1/6वीं अवधि के लिए निवेश करता है, B कुल निवेश के 1/3वें भाग को 1/3वीं अवधि के लिए निवेश करता है जबकि C शेष भाग को पूर्ण समयावधि के लिए निवेश करता है। ₹46,00,000 के कुल लाभ में से, C का हिस्सा कितना होगा?

    1. ₹30,00,000
    2. ₹32,00,000
    3. ₹34,00,000
    4. ₹36,00,000
    Show answer

    Answer: (4) ₹36,00,000

    उत्तर: (4) ₹36,00,000

    Profit is shared in the ratio of capital × time: A = 1/6 × 1/6 = 1/36, B = 1/3 × 1/3 = 4/36 and C = (1 - 1/6 - 1/3) × 1 = 1/2 = 18/36, so the ratio is 1 : 4 : 18 (total 23 parts). C's share = 18/23 × ₹46,00,000 = ₹36,00,000.

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