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    ​After deducting a commission of 10% on the marked price, a T.V. set costs ₹9,090. What is its marked price?​
    Question

    After deducting a commission of 10% on the marked price, a T.V. set costs ₹9,090. What is its marked price?

    A.

    ₹10,010.00

    B.

    ₹10,000.00

    C.

    ₹10,074.75

    D.

    ₹10,100.00

    Correct option is D

    Given:

    Commission = 10% of the marked price.

    Cost of the T.V. set after deducting commission = ₹9,090.

    Formula Used:

    Marked Price = Cost after deduction1Commission Rate\frac{\text{Cost after deduction}}{1 - \text{Commission Rate}}​​

    Solution:

    Substituting the values:

    Marked Price = 9,09010.10 \frac{9,090}{1 - 0.10} ​​​

    Marked Price = 9,0900.90=10,100 \frac{9,090}{0.90} = 10,100​​

    Thus, The marked price of the T.V. set is ₹10,100.

    Alternate Method:

    marked price = 100%

    After commission = 100%-10%= 90%

    90%= 9,090

    9%= 909

    1%= 101

    100%= 10100

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