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    Nikhil sold a machine to Sonia at a profit of 33%. Sonia sold this machine to Aruna at a loss of 20%. If Nikhil paid ₹5,200 for this machine, then fin
    Question

    Nikhil sold a machine to Sonia at a profit of 33%. Sonia sold this machine to Aruna at a loss of 20%. If Nikhil paid ₹5,200 for this machine, then find the cost price of machine for Aruna.

    A.

    ₹5,532.8

    B.

    ​₹5,632.8

    C.

    ₹5,832.8

    D.

    ₹5,732.8

    Correct option is A

    Given:

    Nikhil's cost price = ₹5200

    Nikhil sold it to Sonia at 33% profit

    Sonia sold it to Aruna at 20% loss

    Formula Used:

    Selling Price = Cost Price×(1+Profit %100)\text{Cost Price} \times \left(1 + \frac{\text{Profit \%}}{100} \right)​​

    Selling Price (after loss) = Cost Price×(1Loss %100)\text{Cost Price} \times \left(1 - \frac{\text{Loss \%}}{100} \right)​​

    Solution:

    Selling price from Nikhil to Sonia:

    SP = 5200×(1+33100)5200 \times \left(1 + \frac{33}{100}\right)​​

    =5200×133100=6916= 5200 \times \frac{133}{100} = ₹6916​​

    Sonia sells to Aruna at 20% loss:

    Aruna’s Cost Price = 6916×(120100) 6916 \times \left(1 - \frac{20}{100}\right)​​

    =6916×0.80=5532.80= 6916 \times 0.80 = ₹5532.80​​

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