Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    A trader has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

    ক)
    640 kg
    খ)
    600 kg
    গ)
    240 kg
    ঘ)
    130 kg
    ঙ)
    None of these

    Explanation

    Let the sugar sold at 8% gain = x ∴ Sugar sold at 18% gain = (1000 - x) Let CP of sugar = Rs. y per kg Total CP = Rs. 1000y ∴(108100×xy)+118100(1000−x)y=114100×1000y\begin{array}{l} \therefore \left( {\frac{{108}}{{100}} \times xy} \right) + \frac{{118}}{{100}}\left( {1000 - x} \right)y\\ = \frac{{114}}{{100}} \times 1000y \end{array} ⇒ 108xy + 118000y – 118xy = 114000y ⇒ 10x = 4000 ∴ x = 400 ∴ Quantity sold at 18% profit = 1000 – 400 = 600 kg Hence, the required answer is 600 kg,

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