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    Question

    A shopkeeper first allows a discount of 20% on a certain variety of cloth and then further gives a discount if 15% to the persons holding a shareholder’s coupon. The total discount received by a person holding a shareholder’s coupon would be:

    A 30% Correct Answer Incorrect Answer
    B 32% Correct Answer Incorrect Answer
    C 33.5% Correct Answer Incorrect Answer
    D 35% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Suppose MP = Rs 100 ∴ Total discounted price after allowing two discounts = Rs 100×  80/100×  85/100 = Rs 68 ∴  Total discount = Rs 100 – 68 = Rs 32 ∴ Required discount % = 32/100×100 = 32% ALTERNATE SHORTCUT METHOD If there are two successive discounts of a% & b %, then net overall discount% =( a+b – ab/100)  = (20 + 15 – 20 ×15 /100) = 35 – 3 = 32%

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