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 (
    440, 1966, 1973, 1963, 327, 1934, 385, 
    405, 413, 1970, 1937, 414, 389, 426, 
    442, 1936, 326, 322, 1957
  ) 
  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 0.00079

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "52.61"
    },
    "grouping_operation": {
      "using_filesort": false,
      "table": {
        "table_name": "cscart_product_prices",
        "access_type": "range",
        "possible_keys": [
          "usergroup",
          "product_id",
          "lower_limit",
          "usergroup_id"
        ],
        "key": "product_id",
        "used_key_parts": [
          "product_id"
        ],
        "key_length": "3",
        "rows_examined_per_scan": 24,
        "rows_produced_per_join": 4,
        "filtered": "19.98",
        "index_condition": "(`eshopuga_upgr_4122`.`cscart_product_prices`.`product_id` in (440,1966,1973,1963,327,1934,385,405,413,1970,1937,414,389,426,442,1936,326,322,1957))",
        "cost_info": {
          "read_cost": "51.65",
          "eval_cost": "0.96",
          "prefix_cost": "52.61",
          "data_read_per_join": "115"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`eshopuga_upgr_4122`.`cscart_product_prices`.`lower_limit` = 1) and (`eshopuga_upgr_4122`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
322 14.000000
326 14.000000
327 14.000000
385 14.000000
389 14.000000
405 14.000000
413 14.990000
414 19.000000
426 14.000000
440 20.000000
442 20.000000
1934 27.000000
1936 27.000000
1937 22.000000
1957 23.000000
1963 23.000000
1966 23.000000
1970 23.000000
1973 23.000000