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    An article costing Rs.1000 is sold at 5% loss and another article purchased with the money got was again sold at 5% gain. Was there a loss or gain and
    Question

    An article costing Rs.1000 is sold at 5% loss and another article purchased with the money got was again sold at 5% gain. Was there a loss or gain and how much?

    A.

    2.5% gain

    B.

    Rs. 2.5 loss

    C.

    2% loss

    D.

    Rs.2 gain

    Correct option is B

    Given:
    ​Cost price (CP) of the first article = Rs. 1000,
    First article is sold at a 5% loss,
    The second article is purchased with the money obtained from the sale of the first article and sold at a 5% gain.
    Concept Used:
    For the first article, selling price (SP) is calculated using:
    SP = CP×(1Loss%100)\text{CP} \times \left(1 - \frac{\text{Loss\%}}{100}\right)​​
    The selling price of the first article becomes the cost price of the second article.
    For the second article, selling price is calculated using
    SP = CP×(1+Gain%100).\text{CP} \times \left(1 + \frac{\text{Gain\%}}{100}\right).​​
    Solution:
    Initial cost of the article = Rs. 1000
    Sold at 5% loss, so selling price = 1000 - 5% of 1000 = 1000 - 50 = Rs. 950
    With Rs. 950, another article is purchased and sold at 5% gain.
    Selling price of the new article = 950 + 5% of 950 = 950 + 47.5 = Rs. 997.5
    Net result = Initial cost - Final amount = 1000 - 997.5 = Rs. 2.5 loss ​​

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