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    The marked price of a television set is Rs. 18000. A shopkeeper allows a discount of 40% and gets a profit of 10%. What is the cost price of the telev
    Question

    The marked price of a television set is Rs. 18000. A shopkeeper allows a discount of 40% and gets a profit of 10%. What is the cost price of the television set?

    A.

    Rs. 9531511 \frac5{11} ​​

    B.

    Rs. 8181311\frac3{11}​​

    C.

    Rs. 7821311\frac3{11}​​

    D.

    Rs. 9818211\frac2{11}

    Correct option is D

    Given:
    Marked price = Rs. 18000
    Discount = 40%
    Profit = 10%
    Formula Used:

    CP/MP = (100 - Discount%) / (100 + Profit%)

    Solution:

    CP/MP = (100 - 40) / (100 + 10)

    => CP/MP = 60/110 = 6/11

    => CP/MP = 6/11

    => CP = (18000 × 6)/11 = Rs. 9818211\frac2{11}

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