A jewel was sold passing through 3 hands and overall, its price is raised by 60%. The first seller earns 15% profit, and the second seller earns 20% profit, respectively. Find the percentage of profit earned by the third seller.
Let the initial price be P. Price after first sale (15% profit) =1.15P Price after the second sale (20% profit) =1.20P x 1.15 = 1.38P Final price (60% increase overall) =1.60P Profit by third seller =1.38P × (1+x) = 1.60P 1+x =1.60/1.38 = 1.1594 1+x =1.1594 x = 0.1594 x=15.94%
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