SELECT 
  q_product_prices.product_id, 
  MIN(
    IF(
      q_product_prices.percentage_discount = 0, 
      q_product_prices.price, 
      q_product_prices.price - (
        q_product_prices.price * q_product_prices.percentage_discount
      )/ 100
    )
  ) AS price 
FROM 
  q_product_prices 
WHERE 
  q_product_prices.product_id IN (
    346, 347, 348, 349, 350, 351, 352, 354, 
    355, 356, 357, 358, 359, 360, 361, 362
  ) 
  AND q_product_prices.lower_limit = 1 
  AND q_product_prices.usergroup_id IN (0, 1) 
GROUP BY 
  q_product_prices.product_id

Query time 0.00161

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "38.41"
    },
    "grouping_operation": {
      "using_filesort": false,
      "table": {
        "table_name": "q_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": 16,
        "rows_produced_per_join": 3,
        "filtered": "19.99",
        "index_condition": "(`portal`.`q_product_prices`.`product_id` in (346,347,348,349,350,351,352,354,355,356,357,358,359,360,361,362))",
        "cost_info": {
          "read_cost": "37.77",
          "eval_cost": "0.64",
          "prefix_cost": "38.41",
          "data_read_per_join": "76"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`portal`.`q_product_prices`.`lower_limit` = 1) and (`portal`.`q_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
346 105.000000
347 255.000000
348 375.000000
349 69.000000
350 239.000000
351 259.000000
352 49.000000
354 185.000000
355 226.000000
356 365.000000
357 266.000000
358 235.000000
359 119.000000
360 59.000000
361 125.000000
362 279.000000