Question
Cost price of an item is Rs.1250. It is marked up by x%,
then sold at a discount of (x β 6)%. The trader makes a profit of Rs.31. Find the marked price.Solution
ATQ, 1250 * (100 + x)/100 * (100 β (x β 6))/100 = 1250 + 31 1250 * (100 + x)/100 * (106 β x)/100 = 1281 (100 + x) * (106 β x) = 10248 10600 β 100x + 106x β x2 = 10248 x2Β β 6x β 352 = 0 x2Β β 22x + 16x β 352 = 0 x(x β 22) + 16(x β 22) = 0 (x β 22)(x + 16) = 0 x = +22, β16 x = 22 Marked price = 1250 * 122/100 = Rs.1525
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