For which categories the value of the products returned (as a percentage of sales) increased for three consecutive months?

Based on the question, we essentially need to find a sequence of at least three consecutive increasing percentage values of product return as a percentage of sales.

1. For the Apparel category, in January, February, and March, we have $$13\%$$, $$16\%$$ and $$20\%$$, which are increasing values.
2. For the Footwear category, in October, November, and December, we have $$8\%$$, $$9\%$$, and $$10\%$$, which are increasing values.
3. For the Electronics category, no three months show a consistently increasing percentage value of product returns out of total sales.

The correct answer is therefore option C; both the Apparel and Footwear categories showed a consecutive increase in the percentage of monthly product returns for three months.