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I hope you sent or have sent the right book .
I used past simple because before replying to them I received this email"Your order was sent yesterday" so I am wondering if they sent the right book. I think past simple is better because the action, at the time of my reply, is completed and belongs to the past.
But would it change if the email received was "Your order has been sent" could I use in this case present perfect
May be both are ok
The action being completed at the time of writing is in present perfect tense. The past tense is about a distinct time in the past, like yesterday or an our ago.
I strongly suggest you to check this on EnglishPage, where they explain this in text and they show how it happens in time. Check the menu on the left: they cover all tenses.
What they say (your order was sent yesterday) is in past tense because it's in exact time. What you intend to reply (I hope you have sent the right book) is in simple perfect, because you don't mention any specific time but just the action completed. You need to choose tenses from your perspective. But, because you can assume that both you and the sender know, when exactly the book was sent, you can still use past simple. So, it's your choice.
