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    Two articles are sold by a traders. One of them is sold for 20% profit. Its selling price equals the cost price of the other article which is sold for
    Question

    Two articles are sold by a traders. One of them is sold for 20% profit. Its selling price equals the cost price of the other article which is sold for 20% loss. Find the effective profit loss percentage approximately.

    A.

    1.8% loss

    B.

    2.5% profit

    C.

    4% loss

    D.

    1.8% profit.

    Correct option is A

    Given:
    Article 1:
    Selling Price (SP1) = Cost Price (CP1) + 20% of CP1
    Article 2:
    Selling Price (SP2) = Cost Price (CP2) - 20% of CP2
    SP1 = CP2
    Formula used:
    Effective Profit/Loss Percentage =  Total SP  Total CP  Total CP ×100\frac{\text { Total SP }- \text { Total CP }}{\text { Total CP }} \times 100​​
    Solutions:
    Let CP1 = x
    SP1 = x + 0.2x = 1.2x
    SP1 = CP2 => CP2 = 1.2x
    SP2 = CP2 - 0.2(CP2) = 1.2x - 0.24x = 0.96x
    Total CP = x + 1.2x = 2.2x
    Total SP = 1.2x + 0.96x = 2.16x
    Effective Loss Percentage = 2.16x2.2x2.2x×100\frac{2.16 x-2.2 x}{2.2 x} \times 100​​
    =>0.04x2.2x×100=>0.042.2×100=>1.8%\begin{aligned}& \Rightarrow \frac{-0.04 x}{2.2 x} \times 100 \\& \Rightarrow \frac{-0.04}{2.2} \times 100 \\& \Rightarrow-1.8 \%\end{aligned} 
    Thus, the correct answer is (A).​​

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