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    Two successive discounts of 10% and 5%, in this order, are given on a bill of 110. Find the net amoum of money payable to clear the bill.
    Question

    Two successive discounts of 10% and 5%, in this order, are given on a bill of 110. Find the net amoum of money payable to clear the bill.

    A.

    ₹ 94.05 

    B.

    ₹ 95

    C.

    ₹ 96

    D.

    ₹ 97

    Correct option is A

    Given:

    - Original Bill = ₹110
    - First Discount = 10%
    - Second Discount = 5%

    Formula Used:

    The formula for successive discounts:

    Net Price=Original Price×(1First Discount100)×(1Second Discount100)\text{Net Price} = \text{Original Price} \times \left( 1 - \frac{\text{First Discount}}{100} \right) \times \left( 1 - \frac{\text{Second Discount}}{100} \right)

    Solution:

    1. Calculate the price after the first discount:

    After First Discount=110×(110100)\text{After First Discount} = 110 \times \left( 1 - \frac{10}{100} \right)


    = 110×0.90=99110 \times 0.90 = 99


    2. Calculate the price after the second discount:

    After Second Discount=99×(15100)\text{After Second Discount} = 99 \times \left( 1 - \frac{5}{100} \right)


    = 99 ×\times​ 0.95 = 94.05

    Final Answer:

    The net amount payable is ₹94.05 

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