Question
A trader buys an item for Rs.1250. He marks it up by x%,
then gives a discount of (x β 6)%. In the end he makes a profit of Rs.21. Find the marked price.Solution
ATQ, 1250 * (100 + x)/100 * (100 β (x β 6))/100 = 1250 + 21 1250 * (100 + x)/100 * (106 β x)/100 = 1271 (100 + x) * (106 β x) = 10168 10600 β 100x + 106x β x2Β = 10168 x2Β β 6x β 432 = 0 x2Β β 24x + 18x β 432 = 0 x(x β 24) + 18(x β 24) = 0 (x β 24)(x + 18) = 0 x = +24, β18 x = 24 Marked price = 1250 * 124/100 = Rs.1550
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