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 (
    12672, 12671, 12994, 12993, 12992, 12991, 
    12990, 12989, 12988, 12987, 12986, 
    12985, 10343, 10345, 10346, 10347, 
    10348, 10349, 10323, 10350
  ) 
  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 0.00090

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_product_prices",
      "access_type": "range",
      "possible_keys": ["usergroup", "product_id", "lower_limit", "usergroup_id"],
      "key": "product_id",
      "key_length": "3",
      "used_key_parts": ["product_id"],
      "rows": 20,
      "filtered": 99.23484039,
      "index_condition": "cscart_product_prices.product_id in (12672,12671,12994,12993,12992,12991,12990,12989,12988,12987,12986,12985,10343,10345,10346,10347,10348,10349,10323,10350)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
10323 518.70000000
10343 2121.60000000
10345 2121.60000000
10346 2121.60000000
10347 2121.60000000
10348 2121.60000000
10349 2121.60000000
10350 2121.60000000
12671 921.36000000
12672 921.36000000
12985 921.36000000
12986 921.36000000
12987 921.36000000
12988 921.36000000
12989 921.36000000
12990 921.36000000
12991 921.36000000
12992 921.36000000
12993 921.36000000
12994 921.36000000