Question
Cost price of an item is Rs.1250. It is marked up by x%,
then sold at a discount of (x – 6)%. The trader makes a profit of Rs.31. Find the marked price.Solution
ATQ, 1250 * (100 + x)/100 * (100 – (x – 6))/100 = 1250 + 31 1250 * (100 + x)/100 * (106 – x)/100 = 1281 (100 + x) * (106 – x) = 10248 10600 – 100x + 106x – x2 = 10248 x2 – 6x – 352 = 0 x2 – 22x + 16x – 352 = 0 x(x – 22) + 16(x – 22) = 0 (x – 22)(x + 16) = 0 x = +22, –16 x = 22 Marked price = 1250 * 122/100 = Rs.1525
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