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    A store marks the price of a pair of shoes at Rs. 1,200. During a sale, they offer a 10% discount, followed by an additional 5% discount on the new pr
    Question

    A store marks the price of a pair of shoes at Rs. 1,200. During a sale, they offer a 10% discount, followed by an additional 5% discount on the new price. What is the final price of the shoes after both discounts?

    A.

    Rs. 1,020

    B.

    Rs. 1,030

    C.

    Rs. 1,026

    D.

    Rs. 1,014

    Correct option is C

    Given:

    Marked Price = Rs. 1,200

    First discount = 10%

    Second discount = 5% (on reduced price)

    Formula Used:

    Final Price = Marked Price×(1First Discount100)×(1Second Discount100)\text{Marked Price} \times (1 - \frac{\text{First Discount}}{100}) \times (1 - \frac{\text{Second Discount}}{100})​​

    Solution:

    Final Price = 1200×(110100)×(15100)\text{1200} \times (1 - \frac{\text{10}}{100}) \times (1 - \frac{\text{5}}{100})​​

    =1200×0.90×0.95 =1200×0.855 =1026=1200 \times 0.90 \times 0.95\\ \ \\ = 1200 \times 0.855 \\ \ \\= 1026​​

    Thus, The final price of the shoes is Rs. 1,026.

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