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 (
    422315, 445550, 413493, 406571, 419858, 
    437062, 428608, 440002, 420919, 454421, 
    413105, 439177
  ) 
  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 0.00092

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 (422315,445550,413493,406571,419858,437062,428608,440002,420919,454421,413105,439177) and cscart_product_prices.usergroup_id in (0,1)"
        }
      }
    ]
  }
}

Result

product_id price
406571 1283.24000000
413105 914.62000000
413493 5.64000000
419858 925.01000000
420919 1624.23000000
422315 1982.34000000
428608 1949.03000000
437062 1417.70000000
439177 313.35000000
440002 1289.86000000
445550 1489.91000000
454421 1450.60000000