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 (
    591, 592, 623, 686, 601, 663, 621, 636, 
    635, 589, 590, 605, 662, 622, 610, 594, 
    597, 596, 606, 608, 611, 631, 628, 618
  ) 
  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 0.00050

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "61.81"
    },
    "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": 27,
        "rows_produced_per_join": 5,
        "filtered": "19.62",
        "index_condition": "(`danishecarter_latest`.`cscart_product_prices`.`product_id` in (591,592,623,686,601,663,621,636,635,589,590,605,662,622,610,594,597,596,606,608,611,631,628,618))",
        "cost_info": {
          "read_cost": "60.75",
          "eval_cost": "1.06",
          "prefix_cost": "61.81",
          "data_read_per_join": "169"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`danishecarter_latest`.`cscart_product_prices`.`lower_limit` = 1) and (`danishecarter_latest`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
589 0.00000000
590 0.00000000
591 0.00000000
592 0.00000000
594 28000.00000000
596 20500.00000000
597 28000.00000000
601 8000.02000000
605 12605.04000000
606 0.00000000
608 0.00000000
610 12400.00000000
611 33600.00000000
618 37600.00000000
621 7200.00000000
622 33600.00000000
623 30000.00000000
628 4000.00000000
631 4000.00000000
635 8800.00000000
636 7600.00000000
662 23100.84000000
663 66072.96000000
686 12428.57000000