Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    A began a business with Rs. 18000 and was joined afterward by B with Rs. 24000. When did B join if the profits at the end of the year were divided in the ratio 9: 7?

    ক)
    after 4 months
    খ)
    after 5 months
    গ)
    after 6 months
    ঘ)
    after 7 months
    ঙ)
    after 8 months

    Explanation

    Let’s assume that B participated in the business for x months. We know that, ratio of shares of profits of A and B = Ratio of their investments ⇒  97  =  18000  ×1224000  ×  x\Rightarrow \;\frac{9}{7}\; = \;\frac{{18000\; \times 12}}{{24000\; \times \;x}} ⇒ x = 7 ⇒ B was a part of the business for 7 months. ⇒ B joined the business after: (12 – 7) = 5 months from the day A started business.

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