Question
A jewel was sold passing through 3 hands and on the
whole, its price is raised by 80%. The first seller earns 20% profit and the second seller earns 25% profit, respectively. Find the percentage of profit earned by the third seller.Solution
Let the initial price be P. Price after first sale (20% profit) =1.20P Price after the second sale (25% profit) =1.20P x 1.25 = 1.50P Final price (80% increase overall) =1.80P Profit by third seller =1.50P × (1+x) = 1.80P 1+x =1.80/1.50 = 1.20 1+x =1.20 x = 0.20 =20%
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