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 (
    414680, 433452, 427170, 404004, 456880, 
    452598, 453013, 426987, 402780, 411115, 
    437229, 424420
  ) 
  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 0.00077

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost": 0.050171963,
    "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": 50,
          "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.product_id in (414680,433452,427170,404004,456880,452598,453013,426987,402780,411115,437229,424420) and cscart_product_prices.usergroup_id in (0,1)"
        }
      }
    ]
  }
}

Result

product_id price
402780 1517.80000000
404004 1134.94000000
411115 967.30000000
414680 142.46000000
424420 1558.56000000
426987 818.87000000
427170 151.53000000
433452 888.88000000
437229 1953.81000000
452598 1129.74000000
453013 924.38000000
456880 7.27000000