We've talked various times about the noun il conto. It can refer to "the bill" or "the account," but it's also used in expressions such as per conto di..., or to put it in more personal terms, per conto mio/suo.

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What's perhaps important to remember is that it has two distinct (but related meanings). It can mean "of one's own."

Nilde, tu c'hai già mille problemi per conto tuo, il ristorante, Enrica fra i piedi, lascia perdere.

Nilde, you already have a ton of problems of your own, the restaurant, Enrica on your back, forget about it.

Captions 10-11, Un medico in famiglia Stagione 3 S3EP4 Lo stagno del ranocchio - Part 5

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Perché la mi' figliola [mia figlia] c'ha già tanti problemi per conto suo.

Because my daughter has enough problems of her own.

Caption 37, Il Commissario Manara S1EP9 - Morte in paradiso - Part 7

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But it also means "on one's own."

Allora, lei è una che fa finta di starsene per conto suo, ma poi te la ritrovi sempre fra i piedi, una grandissima ficcanaso.

So, she is someone who pretends to be on her own, but then you always find her underfoot, hugely nosy.

Captions 45-47, Provaci ancora prof! S1E4 - La mia compagna di banco - Part 30

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Poi, se ne andarono ognuno per conto suo [sic: proprio].

Then they went away, each on his own.

Caption 33, Ti racconto una fiaba I tre porcellini - Part 1

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You will have to rely on the context to help decide what per conto means in each case.

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