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 (
    3799, 3800, 3801, 3802, 3803, 3805, 3806, 
    3566, 3567, 3568, 3569, 3747, 3748, 
    3749, 3750, 3751
  ) 
  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 0.00062

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 (3799,3800,3801,3802,3803,3805,3806,3566,3567,3568,3569,3747,3748,3749,3750,3751))",
        "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
3566 16.000000
3567 12.000000
3568 24.000000
3569 9.000000
3747 12.000000
3748 9.000000
3749 11.000000
3750 12.000000
3751 9.000000
3799 11.000000
3800 11.000000
3801 9.000000
3802 9.000000
3803 11.000000
3805 9.000000
3806 12.000000