SELECT 
  product_prices.product_id, 
  MIN(
    IF(
      product_prices.percentage_discount = 0, 
      product_prices.price, 
      product_prices.price - (
        product_prices.price * product_prices.percentage_discount
      )/ 100
    )
  ) AS price 
FROM 
  product_prices 
WHERE 
  product_prices.product_id IN (
    349726, 352378, 357100, 358980, 359739, 
    360296, 361046, 361620, 362367, 362934, 
    362935, 365571
  ) 
  AND product_prices.lower_limit = 1 
  AND product_prices.usergroup_id IN (0, 1) 
GROUP BY 
  product_prices.product_id

Query time 0.00090

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "8.41"
    },
    "grouping_operation": {
      "using_filesort": false,
      "table": {
        "table_name": "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": 1,
        "filtered": "10.00",
        "index_condition": "(`goimagine`.`product_prices`.`product_id` in (349726,352378,357100,358980,359739,360296,361046,361620,362367,362934,362935,365571))",
        "cost_info": {
          "read_cost": "8.29",
          "eval_cost": "0.12",
          "prefix_cost": "8.41",
          "data_read_per_join": "28"
        },
        "used_columns": [
          "id",
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`goimagine`.`product_prices`.`lower_limit` = 1) and (`goimagine`.`product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
349726 44.95000000
352378 42.95000000
357100 44.95000000
358980 44.95000000
359739 44.95000000
360296 44.95000000
361046 44.95000000
361620 44.95000000
362367 44.95000000
362934 44.95000000
362935 46.95000000
365571 44.95000000