Question
A trader buys an item for Rs.1250. He marks it up by x%,
then gives a discount of (x – 6)%. In the end he makes a profit of Rs.21. Find the marked price.Solution
ATQ, 1250 * (100 + x)/100 * (100 – (x – 6))/100 = 1250 + 21 1250 * (100 + x)/100 * (106 – x)/100 = 1271 (100 + x) * (106 – x) = 10168 10600 – 100x + 106x – x2 = 10168 x2 – 6x – 432 = 0 x2 – 24x + 18x – 432 = 0 x(x – 24) + 18(x – 24) = 0 (x – 24)(x + 18) = 0 x = +24, –18 x = 24 Marked price = 1250 * 124/100 = Rs.1550
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