Where to place 了 when using an auxiliary verb? In general when using auxiliary verbs, where the auxiliary verb is in the past tense while the main verb isn't. An example:


Because I like to read Chinese books, I began teaching myself Mandarin. 
因为我喜欢读中国书，所以我开始了自学汉语。


Is my placement of 了 correct? If not, what would be the appropriate way to convey this?
I think it's OK with or without 了

因为我喜欢读中文书，所以我开始了自学汉语。

因为我喜欢读中文书，所以我开始自学汉语。

The problem, as I see it, is: How can you know you like to read Chinese books before you have studied Chinese?? You cannot have read any! Kind of grates on logic!

为了能够看懂中文，我开始了自学汉语。
In order to be able to read Chinese, I began to study the Chinese language.