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 (
    670, 671, 672, 673, 636, 637, 638, 639, 
    640, 641, 642, 643, 644, 645, 646, 647
  ) 
  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 0.00063

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 (670,671,672,673,636,637,638,639,640,641,642,643,644,645,646,647))",
        "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
636 165.000000
637 79.000000
638 69.000000
639 135.000000
640 79.000000
641 95.000000
642 79.000000
643 95.000000
644 109.000000
645 89.000000
646 95.000000
647 119.000000
670 185.000000
671 199.000000
672 149.000000
673 185.000000