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

  • question_answer
    A dinner set is quoted for Rs. 1500. A customer pays Rs. 1173 for it. If the customer got a series of two discounts and the rate of first discount is 15%, then the rate of second discount was, [SSC CGL Tier II, 2017]

    A) 15%

    B) 7%

    C) 9%

    D) 8%

    Correct Answer: D

    Solution :

    [d] SP = Rs. 1173, Marked Price = Rs. 1500, \[{{r}_{1}}=15%,\] \[{{r}_{2}}=?\] From SP \[=MP\left( 1-\frac{{{r}_{1}}}{100} \right)\left( 1-\frac{{{r}_{2}}}{100} \right)\]             \[\Rightarrow \]   \[1173=1500\left( 1-\frac{15}{100} \right)\left( 1-\frac{{{r}_{2}}}{100} \right)\]             \[\Rightarrow \]   \[1173=15\times 85\times \frac{(100-{{r}_{2}})}{100}\]             \[\Rightarrow \]   \[(100-{{r}_{2}})=\frac{1173\times 100}{15\times 85}=92\] \[\Rightarrow \]   \[{{r}_{2}}=100-92=8\] \[\Rightarrow \]   \[{{r}_{2}}=8%\]


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