SELECT 
  cscart_product_prices.product_id, 
  MIN(
    IF(
      cscart_product_prices.percentage_discount = 0, 
      cscart_product_prices.price, 
      cscart_product_prices.price - (
        cscart_product_prices.price * cscart_product_prices.percentage_discount
      )/ 100
    )
  ) AS price 
FROM 
  cscart_product_prices 
WHERE 
  cscart_product_prices.product_id IN (
    10625, 10627, 10628, 10629, 10630, 10631, 
    10632, 10633, 10634, 10635, 10636
  ) 
  AND cscart_product_prices.lower_limit = 1 
  AND cscart_product_prices.usergroup_id IN (0, 1) 
GROUP BY 
  cscart_product_prices.product_id

Query time 0.00038

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_product_prices",
      "access_type": "range",
      "possible_keys": ["usergroup", "product_id", "lower_limit", "usergroup_id"],
      "key": "product_id",
      "key_length": "3",
      "used_key_parts": ["product_id"],
      "rows": 11,
      "filtered": 99.23484039,
      "index_condition": "cscart_product_prices.product_id in (10625,10627,10628,10629,10630,10631,10632,10633,10634,10635,10636)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
10625 1582.30000000
10627 1582.30000000
10628 1582.30000000
10629 1582.30000000
10630 1582.30000000
10631 1582.30000000
10632 1582.30000000
10633 1582.30000000
10634 1582.30000000
10635 1582.30000000
10636 1582.30000000