Question
An item costs Rs.1250. It is marked up by x% and then sold after a discount of (x – 8)%. The seller earns a profit of Rs.30. Find the marked price.
Solution
ATQ, 1250 * (100 + x)/100 * (100 – (x – 8))/100 = 1250 + 30 1250 * (100 + x)/100 * (108 – x)/100 = 1280 (100 + x) * (108 – x) = 10240 10800 – 100x + 108x – x2 = 10240 x2 – 8x – 560 = 0 x2 – 28x + 20x – 560 = 0 x(x – 28) + 20(x – 28) = 0 (x – 28)(x + 20) = 0 x = +28, –20 x = 28 Marked price = 1250 * 128/100 = Rs.1600
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