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

  • question_answer
    Among the goods purchased by a trader, two-fifth were sold at 20% loss and the remaining were sold at a profit. If on the whole 10% profit is made, what per cent of profit did the trader make on the remaining goods?

    A) 15

    B) 20

    C) 30

    D) 40

    Correct Answer: C

    Solution :

    [c] Let the total goods be 100. Then, \[\frac{2}{5}\] of 100 were sold at 20% loss and \[\frac{3}{5}\] of 100 were sold at x % profit. Then, according to the question, 80% of\[~40+x%\] of 60 = 110% of 100 \[\Rightarrow \]   \[\frac{80\times 40}{100}+\frac{x\times 60}{100}=\frac{110\times 100}{100}\] \[\therefore \]      \[x=\frac{78\times 10}{6}=130\] \[\therefore \] Required profit percentage \[=130-100=30%\]


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