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 (
    10353, 10373, 10325, 10352, 10372, 10324, 
    10351, 10371, 10323, 10350, 10370, 
    10349, 10348, 10347, 10346, 10345, 
    10343, 12985, 12986, 12987
  ) 
  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 0.00050

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 (10353,10373,10325,10352,10372,10324,10351,10371,10323,10350,10370,10349,10348,10347,10346,10345,10343,12985,12986,12987)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
10323 518.70000000
10324 518.70000000
10325 518.70000000
10343 2121.60000000
10345 2121.60000000
10346 2121.60000000
10347 2121.60000000
10348 2121.60000000
10349 2121.60000000
10350 2121.60000000
10351 2121.60000000
10352 2121.60000000
10353 2121.60000000
10370 2763.44000000
10371 2763.44000000
10372 2763.44000000
10373 2763.44000000
12985 921.36000000
12986 921.36000000
12987 921.36000000