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 (
    875, 874, 868, 853, 732, 729, 728, 727, 
    717, 716, 715, 714, 711
  ) 
  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 0.00055

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "31.21"
    },
    "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": 13,
        "rows_produced_per_join": 2,
        "filtered": "19.99",
        "index_condition": "(`portal`.`q_product_prices`.`product_id` in (875,874,868,853,732,729,728,727,717,716,715,714,711))",
        "cost_info": {
          "read_cost": "30.69",
          "eval_cost": "0.52",
          "prefix_cost": "31.21",
          "data_read_per_join": "62"
        },
        "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
711 242.000000
714 221.000000
715 276.000000
716 276.000000
717 242.000000
727 254.000000
728 222.000000
729 79.000000
732 169.000000
853 89.000000
868 76.000000
874 134.000000
875 94.000000