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    ​Babu purchased a car for ₹3,00,000/- and a bike for his son for ₹1,00,000/-. He sold the car at a profit of 10% and bike at a loss of 20%. What is th
    Question

    Babu purchased a car for ₹3,00,000/- and a bike for his son for ₹1,00,000/-. He sold the car at a profit of 10% and bike at a loss of 20%. What is the net gain or loss?

    A.

    2.5% loss

    B.

    2.5% gain

    C.

    1.5% loss

    D.

    2% gain

    Correct option is B

    Given:

    Car Purchase Price = ₹3,00,000

    Bike Purchase Price = ₹1,00,000

    Profit on Car = 10%

    Loss on Bike = 20% 

    Formula Used:

    gain % = gaincost price×100\frac{\text{gain}}{\text{cost price}}×100

    Solution:

    Profit on the car = 10% of ₹3,00,000

    =10100×3,00,000=30,000= \frac{10}{100} × ₹3,00,000 = ₹30,000 

    Loss on the bike = 20% of ₹1,00,000

    =20100×1,00,000=20,000= \frac{20}{100} × ₹1,00,000 = ₹20,000 

    Net gain = Profit - loss 

    Net gain = 30,000 - 20000 = 10,000 

    Net gain % = 10000400000×100=104=2.5%\frac{10000}{400000}×100 = \frac{10}{4} = 2.5\% 

    Thus the gain percentage is 2.5%.

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