Question
An article is purchased for Rs.2000. The shopkeeper
increases the price by x% and allows a discount of (x β 3)% on the marked price. He ends up with a loss of Rs.102. Find the marked price.Solution
ATQ, 2000 * (100 + x)/100 * (100 β (x β 3))/100 = 2000 β 102 2000 * (100 + x)/100 * (103 β x)/100 = 1898 (100 + x) * (103 β x) = 9490 10300 β 100x + 103x β x2 = 9490 x2Β β 3x β 810 = 0 x2Β β 30x + 27x β 810 = 0 x(x β 30) + 27(x β 30) = 0 (x β 30)(x + 27) = 0 x = +30, β27 x = 30 Marked price = 2000 * 130/100 = Rs.2600
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