Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    A dishonest dealer sells his goods at the cost price but still earns a profit of 28% by under weighing. What weight does he use for a kg?

    ক)
    750 g
    খ)
    800 g
    গ)
    825 g
    ঘ)
    781.25 g
    ঙ)
    965.5 g

    Explanation

    Let’s assume that the dishonest dealer uses a weight of x kg for weighing 1 kg. Clearly x < 1. Also, let the cost price of 1 kg of goods be Rs. y. As per the given information, he sells x kg of goods for Rs. y and gains a profit of 28%. Selling price of x kg of goods = Rs. y Selling price of 1 kg of good = y/x Profit % =S.P.  −C.P.C.P.×100= {{S.P.\; - C.P.} \over {C.P.}} \times 100 28 =  yx  −  y  y×100= {{\;{y \over x}\; - \;y\;} \over y} \times 100 1.28y = y/x x = 1/1.28 kg ⇒ x = 0.78175 kg = 781.75 g

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