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    Question

    A student was getting the following four offers on the

    purchase of a book: I - Two successive discounts of 20% and 20% II - Two successive discounts of 25% and 15% III - Two successive discounts of 30% and 10% IV - Two successive discounts of 5% and 35% Which scheme offers the most discount to the student?
    A III Correct Answer Incorrect Answer
    B II Correct Answer Incorrect Answer
    C IV Correct Answer Incorrect Answer
    D I Correct Answer Incorrect Answer

    Solution

    Let Marked Price = 100 Scheme I: Successive discounts = 20% and 20% Net price = 100 × 0.8 × 0.8 = 64 Discount = 36% Scheme II: 25% and 15% Net price = 100 × 0.75 × 0.85 = 63.75 Discount = 36.25% Scheme III: 30% and 10% Net price = 100 × 0.7 × 0.9 = 63 Discount = 37% Scheme IV: 5% and 35% Net price = 100 × 0.95 × 0.65 = 61.75 Discount = 38.25% Maximum discount = 38.25% Answer: Scheme IV

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