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Did they also compare/correct not only with "inflation rates" but with raw material (e.g. foods) prices?

To my knowledge, food prices have risen in many countries more than official inflation rates.

Inflation is measured by the cost a a standard basket of goods that includes food items. Well informed people disagree over whether or not that basket is representative or not, but inflation is a least supposed to be a measure of exactly what you are talking about.

The key is "supposed". Inflation rates are always political.

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