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 (
    5606, 5607, 5608, 5609, 5610, 5611, 5612, 
    1423, 1424, 1425, 1426, 1427, 5136, 
    5137, 5138, 5139, 5140, 5141, 6711, 
    1455, 5164, 1445, 5154, 1456
  ) 
  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 0.00060

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "16.81"
    },
    "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": "20.00",
        "index_condition": "(`gaseus`.`cscart_product_prices`.`product_id` in (5606,5607,5608,5609,5610,5611,5612,1423,1424,1425,1426,1427,5136,5137,5138,5139,5140,5141,6711,1455,5164,1445,5154,1456))",
        "cost_info": {
          "read_cost": "16.33",
          "eval_cost": "0.48",
          "prefix_cost": "16.81",
          "data_read_per_join": "115"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`gaseus`.`cscart_product_prices`.`lower_limit` = 1) and (`gaseus`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
1423 0.00000000
1424 0.00000000
1425 0.00000000
1426 0.00000000
1427 0.00000000
1445 0.00000000
1455 0.00000000
1456 0.00000000
5136 0.00000000
5137 0.00000000
5138 0.00000000
5139 0.00000000
5140 0.00000000
5141 0.00000000
5154 0.00000000
5164 0.00000000
5606 0.00000000
5607 0.00000000
5608 0.00000000
5609 0.00000000
5610 0.00000000
5611 0.00000000
5612 0.00000000
6711 691.00000000