Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    A vendor marks his goods at such a price that he can give a discount of 24% for cash payment and yet make 20% profit. Find the market price of an item which cost him Rs. 275.50.

    ক)
    Rs. 418.25
    খ)
    Rs. 420.75
    গ)
    Rs. 435
    ঘ)
    Rs. 400
    ঙ)
    Rs.  400.75

    Explanation

    Let the Marked Price(M.P.) of the item be Rs.x. Price after a discount of 24% = x – (24% of x) = x – 0.24x = 0.76x Profit % = S.P.−C.P.C.P.×100\frac{{S.P. - C.P.}}{{C.P.}} \times 100 ⇒ 20 C.P. = 100 × (0.76x – C.P.) ⇒ 20 C.P. + 100 C.P. = 76x ⇒ 120 C.P. = 76x ⇒ 120 × 275.50 = 76x ⇒ x = 435 ∴ Marked price of the item =Rs. 435

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