Multiple Choice Questions on A shopkeeper sold a pair of headphones for Rs 5 520 at a gain of 20 What would have been the gain or........... for SSC CGL Exam Preparation

Profit and loss

Quantitative Aptitude (CGL)

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    A shopkeeper sold a pair of headphones for Rs 5,520 at a gain of 20%. What would have been the gain or loss percent if it had been sold fo rs 4,370? 

    This questions was previously asked in
    ssc cgl 2023 pre

    Gain 15% 

    Incorrect Answer

    Loss 5% 

    Correct Answer

    Gain 2% 

    Incorrect Answer

    Loss 10%

    Incorrect Answer
    Explanation:

    - Initial selling price was Rs 5,520 with a 20% gain.

    - Calculate the cost price (CP):

    \[

    \text{CP} = \frac{\text{Selling Price}}{1 + \text{Gain\%}} = \frac{5520}{1.2} = 4600

    \]

    - If sold for Rs 4,370:

    - Loss amount = CP - New Selling Price = 4600 - 4370 = 230

    - Loss percent = \(\left(\frac{\text{Loss Amount}}{\text{CP}}\right) \times 100 = \left(\frac{230}{4600}\right) \times 100 = 5\%\)

    - Options evaluation:

    - Gain 15%: Incorrect

    - Loss 5%: Correct

    - Gain 2%: Incorrect

    - Loss 10%: Incorrect


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