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 (
    57258, 56012, 56067, 62369, 57692, 56610, 
    56611, 55298, 57687, 57689, 56563, 
    62354
  ) 
  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 0.00087

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": "20.00",
        "index_condition": "(`cscartdb`.`cscart_product_prices`.`product_id` in (57258,56012,56067,62369,57692,56610,56611,55298,57687,57689,56563,62354))",
        "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": "((`cscartdb`.`cscart_product_prices`.`lower_limit` = 1) and (`cscartdb`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
55298 72.00000000
56012 85.00000000
56067 75.00000000
56563 85.00000000
56610 85.00000000
56611 85.00000000
57258 85.00000000
57687 59.00000000
57689 59.00000000
57692 65.00000000
62354 49.00000000
62369 45.00000000