An article passing through two hands is sold at a profit of $38\%$ at the original cost price. If the dealer makes a profit of $20\%$, then the profit per cent made by the second is:

Let the original cost price be 100, meaning the final selling price at a 38 percent profit is 138. The first dealer makes a 20 percent profit, so the intermediate selling price becomes 120. The second dealer buys the article for 120 and sells it for 138, resulting in a profit of 18. The profit percentage made by the second dealer is 18 divided by 120 multiplied by 100, which equals 15 percent. The answer is 15 percent.

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