Do "price-quality ratio" and "quality-price ratio" mean the same, please?
Not a teacher. Or Bhai.
I agree with Raymott. I would interpret price-quality ratio to mean the ratio of price to quality and quality-price ratio to mean the ratio of quality to price.
As such, each figure would indeed be the reciprocal (the multiplicative inverse) of the other.
I believe that quality-price ratio is used for wines, though don't know who else uses it, and have seen price-quality ratio used in financial analyses of companies.
In analysis of companies, the ratios have to be strictly in the right order, because so many derivative ratios are computed from them.
In any case, as a general principle the X/Y ratio has to be the inverse of Y/X ratio if these terms are to be understood.
If the student/staff ratio is 12:1, the staff/student ratio must be 1:12.
There might be specific industries in which the same ratio can be expressed in either direction and be the same value, but I don't know of any.