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 (
    312881, 312873, 312841, 312842, 312847, 
    312848, 312840, 312846, 312838, 312839, 
    312854, 312876
  ) 
  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 0.00055

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": 49.99988174,
          "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.product_id in (312881,312873,312841,312842,312847,312848,312840,312846,312838,312839,312854,312876) and cscart_product_prices.usergroup_id in (0,1)"
        }
      }
    ]
  }
}

Result

product_id price
312838 1006.00000000
312839 1007.00000000
312840 1008.00000000
312841 1009.00000000
312842 1010.00000000
312846 1014.00000000
312847 1015.00000000
312848 1016.00000000
312854 1022.00000000
312873 1041.00000000
312876 1044.00000000
312881 1049.00000000