SELECT 
  cscart_ult_product_prices.product_id, 
  MIN(
    IF(
      cscart_ult_product_prices.percentage_discount = 0, 
      cscart_ult_product_prices.price, 
      cscart_ult_product_prices.price - (
        cscart_ult_product_prices.price * cscart_ult_product_prices.percentage_discount
      )/ 100
    )
  ) AS price 
FROM 
  cscart_ult_product_prices 
WHERE 
  cscart_ult_product_prices.product_id IN (
    4718, 4793, 4754, 4691, 4823, 4878, 4832, 
    4722, 4719, 4717, 4716, 4701, 4714, 
    4702, 4712, 4709, 4707, 4711, 4708, 
    4704, 4703, 6114, 4705, 4710
  ) 
  AND cscart_ult_product_prices.lower_limit = 1 
  AND cscart_ult_product_prices.company_id = 1 
  AND cscart_ult_product_prices.usergroup_id IN (0, 0, 1) 
GROUP BY 
  cscart_ult_product_prices.product_id

Query time 0.00040

JSON explain

{
  "query_block": {
    "select_id": 1,
    "filesort": {
      "sort_key": "cscart_ult_product_prices.product_id",
      "temporary_table": {
        "table": {
          "table_name": "cscart_ult_product_prices",
          "access_type": "ALL",
          "possible_keys": [
            "usergroup",
            "product_id",
            "company_id",
            "lower_limit",
            "usergroup_id"
          ],
          "rows": 44,
          "filtered": 59.09090805,
          "attached_condition": "cscart_ult_product_prices.lower_limit = 1 and cscart_ult_product_prices.company_id = 1 and cscart_ult_product_prices.product_id in (4718,4793,4754,4691,4823,4878,4832,4722,4719,4717,4716,4701,4714,4702,4712,4709,4707,4711,4708,4704,4703,6114,4705,4710) and cscart_ult_product_prices.usergroup_id in (0,0,1)"
        }
      }
    }
  }
}

Result

product_id price
4710 15.000000
4878 73.000000