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 (
    5582, 5583, 5584, 5585, 5586, 5587, 5588, 
    5589, 5590, 5591, 5592, 5593, 5594, 
    5595, 5596, 5597, 5598, 5599, 5600, 
    5601, 5602, 5603, 5604, 5605, 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 0.00083

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "33.61"
    },
    "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": 48,
        "rows_produced_per_join": 9,
        "filtered": "20.00",
        "index_condition": "(`gaseus`.`cscart_product_prices`.`product_id` in (5582,5583,5584,5585,5586,5587,5588,5589,5590,5591,5592,5593,5594,5595,5596,5597,5598,5599,5600,5601,5602,5603,5604,5605,5606,5607,5608,5609,5610,5611,5612,1423,1424,1425,1426,1427,5136,5137,5138,5139,5140,5141,6711,1455,5164,1445,5154,1456))",
        "cost_info": {
          "read_cost": "32.65",
          "eval_cost": "0.96",
          "prefix_cost": "33.61",
          "data_read_per_join": "230"
        },
        "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
5582 0.00000000
5583 0.00000000
5584 0.00000000
5585 0.00000000
5586 0.00000000
5587 0.00000000
5588 0.00000000
5589 0.00000000
5590 0.00000000
5591 0.00000000
5592 0.00000000
5593 0.00000000
5594 0.00000000
5595 0.00000000
5596 0.00000000
5597 0.00000000
5598 0.00000000
5599 0.00000000
5600 0.00000000
5601 0.00000000
5602 0.00000000
5603 0.00000000
5604 0.00000000
5605 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