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 (
    437022, 408429, 453736, 449225, 434843, 
    408594, 444049, 456046, 419276, 421080, 
    432021, 421172
  ) 
  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 0.00066

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 (437022,408429,453736,449225,434843,408594,444049,456046,419276,421080,432021,421172) and cscart_product_prices.usergroup_id in (0,1)"
        }
      }
    ]
  }
}

Result

product_id price
408429 1071.88000000
408594 1223.47000000
419276 444.64000000
421080 897.75000000
421172 1712.31000000
432021 484.73000000
434843 1228.74000000
437022 908.98000000
444049 473.50000000
449225 151.90000000
453736 1709.86000000
456046 143.75000000