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The price of a jewel, passing three hands, rises on the whole by 65%. If the first and second sellers…

Successive profit factors multiply to the overall rise. So \(1.20 \times 1.25 \times x = 1.65\), giving \(1.5x = 1.65\) and \(x = 1.10\). The third seller therefore earned…

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The price of a jewel, passing three hands, rises on the whole by 65%. If the first and second sellers earned 20% and 25% profit respectively, find percentage profit earned by the third seller.

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Correct answer A

Successive profit factors multiply to the overall rise. So 1.20×1.25×x=1.651.20 \times 1.25 \times x = 1.65, giving 1.5x=1.651.5x = 1.65 and x=1.10x = 1.10. The third seller therefore earned 10% profit.

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