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    Question

    An article is marked x% (0 < x < 40) above its cost

    price. It is sold by giving x/2% discount on its marked price. If there is a profit of 10(1/2)%, then what is the value of x?┬а
    A 25 Correct Answer Incorrect Answer
    B 30 Correct Answer Incorrect Answer
    C 20 Correct Answer Incorrect Answer
    D 35 Correct Answer Incorrect Answer

    Solution

    Marked Price (MP): M = C (1 + x/100) Selling Price (SP) with discount%: SP = M (1 - x/200) Profit of 10%: SP = C ├Ч1.105 ATQ- ┬а C ├Ч 1.105 = C (1 + x/100) (1 - x/200) ┬а 1.105 = (1 + x/100) (1 - x/200) 1.105 = 1 + x/200 - (x 2)/20000 ┬а 0.105 = x/200 - (x2)/20000 ┬а 2100= 100x - x 2 ┬а x2 - 100x + 2100 = 0 x2 - 70x-30x + 2100 =0 x(x-70)-30(x-70) =0 x=30 Since x must be less than 40: x=30 So, the value of x is 30.

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