Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    Two merchants A and B enter into partnership. A puts in Rs. 23,750 and at the end of four months adds Rs. 3,750 to his capital, while B withdraws Rs. 3,000 at the end of seven months. At the end of year, A and B received equal profit, B puts in beginning……….

    ক)
    Rs. 26,000
    খ)
    Rs. 27,500
    গ)
    Rs. 38,000
    ঘ)
    Rs. 26,500
    ঙ)
    Rs. 30,000

    Explanation

    A’s investment in partnership is 23,750 for 4 months each. Since, he added Rs.3750 after 4 months. So, A’s investment in the partnership is (23750 + 3750) = 27,500 for 8 months each Similarly Let B’s share in partnership is x for 7 months and (x - 3,000) for next 5 months as he withdraws 3000 after seven months. Ratio of shares = Ratio of (their investments × number of months) So ratio of investments = (23,750 × 4 + 27,500 × 8) : (x × 7 + (x - 3,000) × 5) = 315,000 : (12x - 15,000) A’s share in profit = B’s share ∴ 315,000 = 12x - 15,000 ∴ 12x = 330,000 ⇒x=330,00012=Rs.  27,500\Rightarrow x = \frac{{330,000}}{{12}} = Rs.\;27,500

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