2012 AMC 12B Problem 4

Problem 4 of 25EasierArithmetic

Suppose that the euro is worth

1.30

dollars. If Diana has

500

dollars and Étienne has

400

euros, by what percent is the value of Étienne’s money greater than the value of Diana’s money?

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Solution

Étienne’s money is worth

400\cdot1.30=520

dollars, while Diana has

500

dollars. The percent by which Étienne’s value exceeds Diana’s is

\frac{520-500}{500}\cdot100\%=4\%.

Thus, the correct answer is B.

Tagged: percentage · unit conversion