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

  • question_answer
    A manufacturer fixes his selling price at 33% over the cost of production. If cost of production goes up by 12% and manufacturer raises his selling price by 10%, his percentage profit is [SSC CGL Tier II, 2015]

    A) \[30\frac{5}{8}%\]

    B) 35%

    C) \[28\frac{3}{8}%\]

    D) \[36\frac{5}{9}%\]

    Correct Answer: A

    Solution :

    [a] Let, the cost price of article produced by manufacture is Rs. x. Then, Selling price of article = 33% of x = 11.33 x According to the question, Profit percentage received after the change in prices of the article    \[=\frac{1.33x\,\,\text{of}\,\,110%-x\,\,\text{of}\,\,112%}{2\,\,\text{of}\,\,112%}\times 100\]             \[=\frac{1.33x\times 1.1-x\times 1.12}{x\times 1.12}\times 100=\frac{1.463-1.12}{1.12}\times 100\]\[=\frac{0.343}{1.12}\times 100=30\frac{5}{8}%\]


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