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SSC Quantitative Aptitude Profit and Loss Question Bank Profit Loss and Discount (II)

  • question_answer
    If the price of an item is increased by 30% and then allows two successive discounts of 10% and 10%. In last the price of an item is

    A) increased by 10%

    B) increased by 5.3%

    C) decreased by 3%

    D) decreased by 5.3%

    Correct Answer: B

    Solution :

    [b] Let the cost price of item = Rs. x \[\therefore \] Marked price of item             \[=\frac{x\times (100+30)}{100}=\text{Rs}.\,\,\frac{13x}{10}\] Selling price of the item after two successive discount \[=\frac{13x}{10}\times \left( \frac{100-10}{100} \right)\times \left( \frac{100-10}{100} \right)\] \[=\frac{13x}{10}\times \frac{90}{100}\times \frac{90}{100}=\text{Rs}\text{.}\,\,\frac{1053}{1000}x\] Increment in the price of item \[=\frac{\frac{1053x}{1000}-x}{x}\times 100%=\frac{53}{10}%=5.3%\]


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