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 (
    1072, 1054, 1053, 1070, 1044, 1039, 1071, 
    1041, 1042, 1065, 1043, 1047, 1048, 
    1069, 1031, 1046, 1045, 1068
  ) 
  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 0.00062

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "53.01"
    },
    "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": 25,
        "rows_produced_per_join": 4,
        "filtered": "19.91",
        "index_condition": "(`cscart`.`cscart_product_prices`.`product_id` in (1072,1054,1053,1070,1044,1039,1071,1041,1042,1065,1043,1047,1048,1069,1031,1046,1045,1068))",
        "cost_info": {
          "read_cost": "52.01",
          "eval_cost": "1.00",
          "prefix_cost": "53.01",
          "data_read_per_join": "119"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`cscart`.`cscart_product_prices`.`lower_limit` = 1) and (`cscart`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
1031 590.00000000
1039 269.00000000
1041 798.00000000
1042 896.00000000
1043 813.00000000
1044 728.00000000
1045 292.00000000
1046 192.00000000
1047 1029.00000000
1048 882.00000000
1053 251.00000000
1054 324.00000000
1065 896.00000000
1068 343.00000000
1069 630.00000000
1070 280.00000000
1071 348.00000000
1072 662.00000000