This is the 208th most frequent Japanese word.
理由
Reason; cause.
In this sentence, '理由 (riyuu)' is used to express the cause or explanation for his tardiness.
彼は遅れた理由を説明した。
He explained the reason for being late.
Here, '理由 (riyuu)' is used to denote the underlying cause of an achievement.
成功の理由を考えてみてください。
Please think about the reason for the success.
In this example, '理由 (riyuu)' indicates a justification or cause, emphasized by the phrase '何の理由もなく (nan no riyuu mo naku)' which means 'without any reason.'