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SSC Sample Paper SSC CGL - Sample Paper-27

  • question_answer
    The price of an article is raised by 30% and then two successive discounts of 10% each are allowed. Ultimately the price of the article is

    A) Increased by 10%          

    B) increased by 5.3%

    C) Decreased by 3%

    D) decreased by 5.3%

    Correct Answer: B

    Solution :

    Let the price of an article\[=Rs.\,x\] then new price of an article after 30% increase             \[=Rs.\frac{130x}{100}=Rs.\frac{13x}{10}\] Price of an article after 10% discount             \[=Rs.\frac{13x}{10}\times \frac{90}{100}\] Now the price of an article after second 10% Discount\[=Rs.\frac{117x\times 90}{1000}\]  \[=Rs.\frac{1053x}{1000}\] Net change \[=\frac{1053x}{1000}-x=\frac{53x}{1000}\] Percentage change \[=\frac{\frac{53x}{1000}}{x}\times 100%=5.3%\]


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