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    Madhav purchased an item for Rs. 42,000 and sold it at a loss of 20%. With that amount, he purchased another item and sold it at a gain of 30%. What i
    Question

    Madhav purchased an item for Rs. 42,000 and sold it at a loss of 20%. With that amount, he purchased another item and sold it at a gain of 30%. What is the overall gain (in Rs. )?

    A.

    6720

    B.

    4200

    C.

    1680

    D.

    2520

    Correct option is C

    Given:

    Purchasing cost of item = Rs 42,000

    Loss percentage = 20%

    Gain at again selling = 30%

    Formula Used:

    Loss = CP - SP

    Gain = SP - CP

    SP=100Loss%100×CP\text{SP} = \frac{100 - \text{Loss\%}}{100} \times \text{CP}​​

    ​​​SP=100+Profit%100×CP\text{SP} = \frac{100 + \text{Profit\%}}{100} \times \text{CP}​​

    Solution:

    Selling price with a loss of 20% = 10020100×42000\frac{100 - 20}{100} \times 42000​​

    SP = 80 ×\times​ 420 = Rs 33,600

    Now, the cost price = Rs 33,600 and gain = 30%.

    So, Selling Price = 100+30100×33600\frac{100 + 30}{100} \times 33600​​

    SP = 130 ×\times​ 336 = Rs 43,680

    Overall Gain = Rs (43680 - 42000) = Rs 1,680.

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