Multiple Choice Questions on The successive discounts of 30 25 and 15 is equivalent to a single discount of ........ for SSC (CPO) Exam Preparation

Profit and loss

Quantitative Aptitude (CPO)

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Indian Economy - Understanding the basics of Indian economic system

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    The successive discounts of 30%. 25% and 15% is equivalent to a single discount of:

    This questions was previously asked in
    SSC CPO 13th-March-2019-Shift-2

    54.625%

    Incorrect Answer

    55.375%

    Correct Answer

    60.275%

    Incorrect Answer

    60.725%

    Incorrect Answer
    Explanation:

    - To find the equivalent single discount, we apply each successive discount on the reduced price from the previous step.

    - First discount of 30% on 100 leaves 70% of the price: \(100 \times (1 - 0.30) = 70\).

    - Second discount of 25% on the new price: \(70 \times (1 - 0.25) = 52.5\).

    - Third discount of 15% on the latest price: \(52.5 \times (1 - 0.15) = 44.625\).

    - The final price is 44.625% of the original, meaning a total discount of \(100 - 44.625 = 55.375%\).

    Therefore, the equivalent single discount is:

    Option 2: 55.375%


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