रिपोर्ट आ गई?

Just say the phrase with a rising intonation at the end. You don't need a complex sentence structure. If you are waiting for blood work, ask your doctor रिपोर्ट आ गई?. If you are waiting for a project update, ask your colleague. It is versatile because 'report' covers many things in India.

You can use this at the hospital or clinic. Use it at the office for year-end files. Use it at home if a sibling is waiting for exam results. It works perfectly in text messages too. It shows you are concerned or waiting for progress.

Don't use it for physical packages or people. For a delivery, use पार्सल आ गया? instead. Avoid using it in extremely formal letters. In writing, you might need more 'bookish' Hindi. Also, don't use it if the 'report' is a verbal story. It specifically implies a document or official result.

In India, health and education are huge conversation topics. People often check in on each other's medical tests. It's a sign of 'apnapan' or belonging. Asking रिपोर्ट आ गई? shows you care about the other person's situation. It is a very 'neighborly' thing to ask.

You can add क्या at the start for 'Did the report come?'. Use आपकी रिपोर्ट to specify 'your report'. If you are in a hurry, just say आई? (Did it come?) while pointing at a file. Most people will understand exactly what you mean.