Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    The selling price of 21 articles is equal to the cost price of 18 articles. Find the loss percent.

    ক)
    \(14\frac{1}{7}\%\)
    খ)
    \(12\frac{1}{2}\%\)
    গ)
    \(16\frac{2}{3}\%\)
    ঘ)
    30%
    ঙ)
    \(14\frac{2}{7}\%\)

    Explanation

    Let cost price (C.P) of 1 article = Re. x C.P of 21 articles = 21 × x = Rs. 21x S.P of 21 articles = C.P of 18 articles= 18 × x = 18x ∴loss  %=C.P−S.PC.P×100⇒Loss  %=  21x−18x21x×100⇒Loss  %  =321×100Loss  %=1427\begin{array}{l} \therefore loss\;\% = \frac{{C.P - S.P}}{{C.P}} \times 100\\ \Rightarrow Loss\;\% = \;\frac{{21x - 18x}}{{21x}} \times 100\\ \Rightarrow Loss\;\% \; = \frac{3}{{21}} \times 100\\ Loss\;\% = 14\frac{2}{7} \end{array}

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