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    Question

    Two friends Shyam and Ram, Shyam sold an item after

    allowing two successive discounts of 20% and 15%, While Ram sold the same item after two successive discounts of 22% and 13%, respectively. Which of the two friends offered a higher discount?
    A Ram Correct Answer Incorrect Answer
    B Shyam Correct Answer Incorrect Answer
    C Both offered same discount Correct Answer Incorrect Answer
    D Cannot be determined Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, When two successive discounts of 'a'% and 'b'% is offered the effective discount percentage offered is = a + b - {(ab/100) } Therefore, effective discount percentage offered by Shyam = 20 + 15 - {(20 × 15) /100} = 35 - 3 = 32% Effective discount percentage offered by Ram ' = 22 + 13 - {(22 × 13) /100} = 35 - 2.86 = 32.14% Therefore, Ram  offered more discount.

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