Multiple Choice Questions on A bag is sold at a discount of 12 5 The marked price of the bag is Rs6 400 and the profit earned is ........... for SSC (MTS) Preparation

Profit and loss

Quantitative Aptitude (MTS)

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Indian Economy - Understanding the basics of Indian economic system

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    A bag is sold at a discount of 12.5%. The marked price of the bag is Rs6,400 and the profit earned is 25%. What is the cost price

    of the bag?

    This questions was previously asked in
    SSC MTS 5th July 2022 Shift-2

    Rs4,120

    Incorrect Answer

    Rs4,260

    Incorrect Answer

    Rs4,480

    Correct Answer

    Rs4,640

    Incorrect Answer
    Explanation:

    - The marked price (MP) of the bag is Rs6,400.

    - A discount of 12.5% is applied to this price.

    - So, the selling price (SP) is calculated as \( SP = MP \times (1 - \frac{12.5}{100}) = 6400 \times 0.875 = Rs5,600 \).

    - The profit earned is given as 25%.

    - Using the profit formula, \( Profit = SP - Cost Price (CP) \) and \( Profit \% = \frac{Profit}{CP} \times 100 \).

    - Rearranging, we have \( CP = \frac{SP}{1 + \frac{Profit \%}{100}} = \frac{5600}{1.25} = Rs4,480 \).

    Correct Answer: Option 3 - Rs4,480


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