Question
A man bought an article for Rs.1500. He marked up the
price by x% and then sold it after giving a discount of (x – 4)%. He finally made a profit of Rs.12. Find the marked price of the article.Solution
ATQ, 1500 * (100 + x)/100 * (100 – (x – 4))/100 = 1500 + 12 1500 * (100 + x)/100 * (104 – x)/100 = 1512 (100 + x) * (104 – x) = 10080 10400 – 100x + 104x – x2 = 10080 x2 – 4x – 320 = 0 x2 – 20x + 16x – 320 = 0 x(x – 20) + 16(x – 20) = 0 (x – 20)(x + 16) = 0 x = +20, –16 x = 20 Marked price = 1500 * 120/100 = Rs.1800
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