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 (
    636, 624, 622, 620, 619, 618, 616, 615, 
    608, 607, 600, 377
  ) 
  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 0.00041

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "8.41"
    },
    "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": 12,
        "rows_produced_per_join": 2,
        "filtered": "19.93",
        "index_condition": "(`betaatif_store`.`cscart_product_prices`.`product_id` in (636,624,622,620,619,618,616,615,608,607,600,377))",
        "cost_info": {
          "read_cost": "8.17",
          "eval_cost": "0.24",
          "prefix_cost": "8.41",
          "data_read_per_join": "57"
        },
        "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
377 8272.25000000
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