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

  • question_answer
    The difference between a discount of 40% on Rs. 500 and two successive discounts of 36% and 4% on the same amount is

    A) Rs. 0

    B) Rs. 2

    C) Rs. 1.93

    D) Rs. 7.20

    Correct Answer: D

    Solution :

    [d] \[\therefore \] Discount of 40% on Rs. 500 \[=\frac{500\times 40}{100}=\text{Rs}.\,\,200\] and single discount per cent equivalent to 36% and 4% \[=\left( {{r}_{1}}+{{r}_{2}}-\frac{{{r}_{1}}{{r}_{2}}}{100} \right)%=36+4-\frac{36\times 4}{100}\] \[=40-1.44=38.56%\] \[\therefore \] Discount by 38.56% on 500             \[=\frac{38.56\times 500}{100}=\text{Rs}.\,\,192.80\] Hence, required differertrrrnce \[=(200-192.\text{80})=\text{Rs}\text{.}\,\,7.20\]


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