i think When interpreting the coefficient of a variable like P (price index of a product) from a model, it's essential to consider the context of the model and the data used to estimate it. Here are some steps to help you properly interpret the coefficient
Check the model specification. Understand the coefficient's unit. Interpret the coefficient as a percentage change ( If P is a percentage index (e.g., an inflation rate or a change in price), you can interpret the coefficient as the percentage change in the dependent variable (or P itself) associated with a 1% change in P, while controlling for other variables). Examine the coefficient's magnitude.
there maybe more things to add but what i understand i mentioned .hope so it will work out . thanks