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    Ali ordered an LED screen from an online portal. The online portal allows two successive discounts of 12.5% and 25% on the marked price. If payment is
    Question

    Ali ordered an LED screen from an online portal. The online portal allows two successive discounts of 12.5% and 25% on the marked price. If payment is made by credit card, there is another discount of 10% on the bill. If Ali made a payment of Rs. 59,062.50 by credit card, then the marked price of the LED screen is:

    A.

    Rs. 1,02,500

    B.

    Rs. 90,650

    C.

    Rs. 1,00,000

    D.

    Rs. 1,20,075

    Correct option is C

    Given:
    Payment made = ₹59,062.50
    Successive discounts = 12.5% and 25%
    Additional discount on payment by credit card = 10%
    Formula Used:
    Final Price = Marked Price × (1 - Discount1) × (1 - Discount2) × (1 - Additional Discount)
    Solution:
    Let the Marked Price = ₹M
    Final Price = ₹59,062.50
    => 59,062.50 = M × (1 - 0.125) × (1 - 0.25) × (1 - 0.10)
    => 59,062.50 = M × 0.875 × 0.75 × 0.90
    => 59,062.50 = M × 0.590625
    => M = 59,062.500.590625\frac{59,062.50 }{ 0.590625}​​
    => M = ₹1,00,000

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