ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!


    Question

    A seller marked the price of an item at Rs. 5,000. The

    seller gave successive discounts of (b + 5)% and (b - 5)% to a customer. If the customer paid Rs. 4,050 for the item, then find the value of 'b'.
    A 20 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ; SP of the item = 5000 ├Ч (1 - (b + 5)/100) ├Ч (1 - (b - 5)/100) = 4050 or, {(100 - b - 5)/100} ├Ч {(100 - b + 5)/100} = 4050/5000 or, (95 - b) ├Ч (105 - b) = (4050/5000) ├Ч 100 ├Ч 100 or, 95 ├Ч 105 - 95b - 105b + b┬▓ = 8100 or, b┬▓ - 200b + 9975 - 8100 = 0 or, b┬▓ - 200b + 1875 = 0 or, b┬▓ - 10b - 190b + 1875 = 0 or, b ├Ч (b - 10) - 187 ├Ч (b - 10) = 25 or, (b - 10) ├Ч (b - 187) = 25 So, b = 10 or b = 187 But, b = 187 is not possible because the discount cannot be more than 100%. Therefore, b = 10

    Practice Next
    More Profit and loss Questions
    ask-question