5
lesson pretestMultiple Choice

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Question 5 • Financial Math

Hudson needs to receive 320 AUD (Australian dollars) after the fee is applied, so he is planning to exchange his euros (EUR) for Australian dollars. The current exchange rate is 1 EUR = 1.60 AUD, and the currency exchange service charges a 1% transaction fee. How many euros does Hudson need to exchange to receive 320 AUD after the fee is applied?

Answer
A
512 EUR
B
323 point 2 3 EUR
C
200 EUR
D
202 EUR

Explanation

Because the 1% fee is deducted from the Australian dollars received, Hudson must first exchange enough euros to produce more than 320 AUD. Let the amount before the fee be x: 0.99x = 320, so x = 320 ÷ 0.99 ≈ 323.23 AUD. At 1.60 AUD per euro, he needs 323.23 ÷ 1.60 ≈ 202.02 EUR, which rounds to 202 EUR, choice C.

AI-written and checked against the verified answer.

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