Correct way of using 'overtake'

Question

My sentence:

My shop has overtaken his shop in business.

Will it be okay if I rewrite it as:

My shop has overtaken his shop's business.

?

Requst: Please consider re-titling the question if necessary...

Answer 1

It’s almost impossible to comment helpfully on a sentence such as that in isolation. If you try to imagine the context, what might actually occur is something like Yeh, my business has been doing really well lately. In fact, my turnover overtook his for the first time last month.

Answer 2

You don't need to repeat the Noun, just:

My shop has overtaken his.

Now, about the Prepositional Phrase at the end, "in business" is kind of redundant because shops are of course expected to compete "in business" unless you specify otherwise (e.g. "in popularity" etc.)

I have often seen "overtake" used with the Preposition "as," as in:

Ex. My shop has overtaken his as the (city's) top supplier of _.

Or, like you thought, it's used with the Preposition "in" :

Ex. My shop has overtaken his in net profits.

Ex. My shop has overtaken his in sales.