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

  • question_answer
    The marked price of a shirt and trousers are in the ratio 1 : 2. The shopkeeper gives 40% discount on the shirt. If the total discount on both is 30%, the discount offered on the trousers is

    A) 15%

    B) 20%

    C) 25%

    D) 30%

    Correct Answer: C

    Solution :

    [c] Let the MP of shirt be Rs. x and that of trousers be Rs. 2x. Let y% be the discount on trousers. Then, \[\frac{60}{100}\times x+\frac{(100-y)}{100}\times 2x=\frac{70}{100}\times (x+2x)\] \[\Rightarrow \]   \[\frac{3}{5}+\frac{(100-y)}{50}=\frac{21}{10}\] \[\Rightarrow \]   \[\frac{(100-y)}{50}=\left( \frac{21}{10}-\frac{3}{5} \right)=\frac{15}{10}=\frac{3}{2}\] \[\Rightarrow \]   \[(100-y)=\left( \frac{3}{2}\times 50 \right)=75\] \[\Rightarrow \]   \[y=25\] \[\therefore \] Discount on trousers = 25%


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