der Cent
cent
A currency unit that corresponds to one hundredth of a base unit such as the euro or dollar.
Der Kaffee kostet zwei Euro und fünfzig Cent.
The coffee costs two euros and fifty cents.

cent
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cent
A currency unit that corresponds to one hundredth of a base unit such as the euro or dollar.
Der Kaffee kostet zwei Euro und fünfzig Cent.
The coffee costs two euros and fifty cents.

After numbers from two upward, the form 'Cent' is used in the singular, not in the plural. This rule applies to many units of measurement in German.
Ein Kaugummi kostet nur fünf Cent.
A piece of chewing gum costs only five cents.
The phrase 'keinen Cent' (not a cent) is often used figuratively to express that something is worthless or that you have no money left. A typical expression is 'keinen Cent wert sein' (to not be worth a cent).
Seine Versprechen sind keinen Cent wert.
His promises aren't worth a cent.
The idiom 'jeden Cent zweimal umdrehen' (to turn every cent over twice) means that someone has to be very frugal and think carefully about what they spend their money on.
Seit er seinen Job verloren hat, muss er jeden Cent zweimal umdrehen.
Since he lost his job, he has had to turn every cent over twice.
euro
'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'.

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