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    The marked price of an article is ₹1,200. The shopkeeper offered two successive discounts of 10% and 5% respectively to a customer. At what price did
    Question

    The marked price of an article is ₹1,200. The shopkeeper offered two successive discounts of 10% and 5% respectively to a customer. At what price did the customer purchase the article?

    A.

    ₹1,062

    B.

    ₹1,026

    C.

    ₹1,602

    D.

    ₹1,206

    Correct option is B

    Given:

    Marked Price = ₹1200

    First Discount = 10%

    Second Discount = 5%

    Solution:

    Apply first discount of 10%:

    First Discount Amount = r100×Marked Price\frac{r}{100}\times Marked\ Price

    10100×1200=120\frac{10}{100}\times 1200=120 

    Price after first discount = Marked Price - First Discount Amount

    Price after first discount = 1200 - 120 = 1080

    Apply second discount of 5%:

    Second Discount Amount = r100×Price after first discount\frac{r}{100}\times Price\ after\ first \ discount​​

    Second Discount Amount = 5100×1080=54\frac{5}{100}\times 1080 = 54

    Final Price = Price after first discount - Second Discount Amount

    Final Price = (1080 - 54) =₹1026

    Thus the correct answer is (B)

    ​​

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