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    The original price of a music set is ₹8,000. The price is decreased by 12% and then raised by 25%. What is its new price (in ₹)?
    Question

    The original price of a music set is ₹8,000. The price is decreased by 12% and then raised by 25%. What is its new price (in ₹)?

    A.

    8,100

    B.

    8,300

    C.

    8,800

    D.

    9,300

    Correct option is C

    Given:

    Original price = ₹8000; first decrease = 12%; then increase = 25%.

    Formula Used:
    Successive change: New Price =P×(1a100)×(1+b100) P \times (1-\frac{a}{100}) \times (1+\frac{b}{100})​​

    Solution:
    After 12% decrease: 8000×0.88=70400 \times 0.88 = ₹7040​​
    After 25% increase: 7040×1.25=880040 \times 1.25 = ₹8800​​

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