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 (
    645, 644, 641, 639, 636, 624, 622, 620, 
    619, 618, 616, 615, 608, 607, 600, 597, 
    584, 573, 561, 556
  ) 
  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 0.00052

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "14.01"
    },
    "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": 20,
        "rows_produced_per_join": 3,
        "filtered": "19.93",
        "index_condition": "(`betaatif_store`.`cscart_product_prices`.`product_id` in (645,644,641,639,636,624,622,620,619,618,616,615,608,607,600,597,584,573,561,556))",
        "cost_info": {
          "read_cost": "13.61",
          "eval_cost": "0.40",
          "prefix_cost": "14.01",
          "data_read_per_join": "95"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`betaatif_store`.`cscart_product_prices`.`lower_limit` = 1) and (`betaatif_store`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
556 415.43000000
561 710.00000000
573 710.00000000
584 1159.20000000
597 1974.55000000
600 26800.00000000
607 28030.42000000
608 30893.60000000
615 18173.78000000
616 13529.18000000
618 12200.00000000
619 4701.50000000
620 5151.15000000
622 10408.05000000
624 12034.75000000
636 21953.50000000
639 9654.25000000
641 7577.93000000
644 17225.87000000
645 7055.54000000