SELECT 
  cscart_product_prices.product_id, 
  MIN(
    IF(
      cscart_product_prices.percentage_discount = 0, 
      cscart_product_prices.price, 
      cscart_product_prices.price - (
        cscart_product_prices.price * cscart_product_prices.percentage_discount
      )/ 100
    )
  ) AS price 
FROM 
  cscart_product_prices 
WHERE 
  cscart_product_prices.product_id IN (
    636, 635, 640, 653, 660, 647, 648, 593, 
    595, 632, 633, 600, 612, 613, 645, 646, 
    655, 656
  ) 
  AND cscart_product_prices.lower_limit = 1 
  AND cscart_product_prices.usergroup_id IN (0, 1) 
GROUP BY 
  cscart_product_prices.product_id

Query time 0.00042

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "57.21"
    },
    "grouping_operation": {
      "using_filesort": false,
      "table": {
        "table_name": "cscart_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": 28,
        "rows_produced_per_join": 5,
        "filtered": "19.62",
        "index_condition": "(`danishecarter_latest`.`cscart_product_prices`.`product_id` in (636,635,640,653,660,647,648,593,595,632,633,600,612,613,645,646,655,656))",
        "cost_info": {
          "read_cost": "56.11",
          "eval_cost": "1.10",
          "prefix_cost": "57.21",
          "data_read_per_join": "175"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`danishecarter_latest`.`cscart_product_prices`.`lower_limit` = 1) and (`danishecarter_latest`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
593 31000.00000000
595 46500.00000000
600 13300.00000000
612 23200.00000000
613 23200.00000000
632 39200.00000000
633 39200.00000000
635 8800.00000000
636 7600.00000000
640 4800.00000000
645 23200.00000000
646 23200.00000000
647 22000.00000000
648 22000.00000000
653 7500.00000000
655 4000.00000000
656 4000.00000000
660 12800.00000000