der Euro
euro
The official unit of currency in most member states of the European Union.
Dieses Buch kostet zwanzig Euro.
This book costs twenty euros.

euro
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euro
The official unit of currency in most member states of the European Union.
Dieses Buch kostet zwanzig Euro.
This book costs twenty euros.

When an amount of money follows a number greater than one, 'Euro' remains singular in German. You say 'zehn Euro' (ten euros). The plural form 'Euros' is used only rarely, when talking about individual coins.
Die Jacke hat 99 Euro gekostet.
The jacket cost 99 euros.
The letter combination 'eu' is pronounced in German like 'oy' in the English word 'oil'. So 'Euro' sounds like 'Oy-ro'.
Ein Cappuccino kostet hier vier Euro.
A cappuccino costs four euros here.
The symbol for the euro is €. In German texts, it normally comes after the amount, often with a space in between.
Sonderangebot: nur 15 €!
Special offer: only €15!
You can recognize from context whether the unit of currency or a physical coin is meant. If it is about prices, the currency is meant. If an individual coin is meant, an article is often used.
Das Eis kostet zwei Euro.
The ice cream costs two euros.
cent
'der Euro' and 'der Cent' both belong to the money system, but they are used for different sizes of amount. A euro is the larger unit; a cent is one hundredth of it. So one hundred cents are one euro. Learners may confuse the words because prices often contain both units, for example '2 Euro 50 Cent' (2 euros 50 cents). For whole or larger amounts, you usually say 'Euro'. For small amounts or the part after the decimal point, you say 'Cent'.

Der Kaffee kostet heute drei Euro.
The coffee costs three euros today.
Für die Tüte fehlen mir noch zehn Cent.
I'm still ten cents short for the bag.