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 (
    433372, 403114, 434319, 417083, 422315, 
    420919, 439177, 437268, 405994, 452721, 
    406091, 442602
  ) 
  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 0.00070

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost": 0.050158501,
    "nested_loop": [
      {
        "table": {
          "table_name": "cscart_product_prices",
          "access_type": "range",
          "possible_keys": [
            "usergroup",
            "product_id",
            "lower_limit",
            "usergroup_id"
          ],
          "key": "usergroup",
          "key_length": "9",
          "used_key_parts": ["product_id", "usergroup_id", "lower_limit"],
          "loops": 1,
          "rows": 24,
          "cost": 0.04252208,
          "filtered": 49.99988556,
          "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.product_id in (433372,403114,434319,417083,422315,420919,439177,437268,405994,452721,406091,442602) and cscart_product_prices.usergroup_id in (0,1)"
        }
      }
    ]
  }
}

Result

product_id price
403114 1939.61000000
405994 1032.65000000
406091 1049.85000000
417083 1239.76000000
420919 1624.23000000
422315 1982.34000000
433372 1494.92000000
434319 1882.70000000
437268 1060.65000000
439177 313.35000000
442602 598.80000000
452721 736.17000000