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 (
    635, 578, 640, 585, 653, 660, 647, 648, 
    573, 593, 595, 576
  ) 
  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 0.00039

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "35.81"
    },
    "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": 17,
        "rows_produced_per_join": 3,
        "filtered": "19.62",
        "index_condition": "(`danishecarter_latest`.`cscart_product_prices`.`product_id` in (635,578,640,585,653,660,647,648,573,593,595,576))",
        "cost_info": {
          "read_cost": "35.14",
          "eval_cost": "0.67",
          "prefix_cost": "35.81",
          "data_read_per_join": "106"
        },
        "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
573 7900.00000000
576 23500.00000000
578 7500.00000000
585 6500.00000000
593 31000.00000000
595 46500.00000000
635 8800.00000000
640 4800.00000000
647 22000.00000000
648 22000.00000000
653 7500.00000000
660 12800.00000000