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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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