The price of a jewel, passing through three hands, rises on the whole by 65%.…
2025
The price of a jewel, passing through three hands, rises on the whole by 65%. If the first and second sellers earned 20% and 25% profit respectively, then find the percentage of profit earned by the third seller.
- A.
10
- B.
15
- C.
20
- D.
30
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Correct answer: A
Let the initial price of the jewel be P. After passing through three hands, the final price is 1.65P (a 65% increase). The first seller earns a 20% profit, making the price 1.20P. The second seller earns a 25% profit, making the price 1.20P * 1.25 = 1.50P. Let the third seller's profit percentage be x%. The final price is 1.50P * (1 + x/100). Equating the final prices: 1.50P * (1 + x/100) = 1.65P. Dividing by P and 1.50 gives (1 + x/100) = 1.65 / 1.50 = 1.10. Thus, x/100 = 0.10, so x = 10%. The third seller earned a 10% profit.