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 (
    12648, 12651, 12645, 12644, 12650, 12649, 
    12643, 12640, 12647, 15800, 12639, 
    12641, 12638, 12637, 12634, 12635, 
    12636, 12654, 12653, 12652
  ) 
  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 0.00365

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 (12648,12651,12645,12644,12650,12649,12643,12640,12647,15800,12639,12641,12638,12637,12634,12635,12636,12654,12653,12652)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
12634 25398.80000000
12635 25398.80000000
12636 46725.90000000
12637 19650.51000000
12638 19593.76000000
12639 19593.76000000
12640 19593.76000000
12641 19593.76000000
12643 19593.76000000
12644 19593.76000000
12645 19593.76000000
12647 33378.35000000
12648 33378.35000000
12649 33378.35000000
12650 33378.35000000
12651 33378.35000000
12652 23593.03000000
12653 43410.89000000
12654 70782.80000000
15800 33378.35000000