Question
A shopkeeper buys a product for Rs.1800. He increases
the tag by x% and offers a discount of (x – 5)%. His profit is Rs.63. Find the marked price.Solution
ATQ, 1800 * (100 + x)/100 * (100 – (x – 5))/100 = 1800 + 63 1800 * (100 + x)/100 * (105 – x)/100 = 1863 (100 + x) * (105 – x) = 10350 10500 – 100x + 105x – x2 = 10350 x2 – 5x – 150 = 0 x2 – 15x + 10x – 150 = 0 x(x – 15) + 10(x – 15) = 0 (x – 15)(x + 10) = 0 x = +15, –10 x = 15 Marked price = 1800 * 115/100 = Rs.2070
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