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 (
    312862, 312833, 312835, 312856, 312857, 
    312859, 312860, 312861, 312872, 312869, 
    312858, 312863
  ) 
  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 0.00057

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 (312862,312833,312835,312856,312857,312859,312860,312861,312872,312869,312858,312863) and cscart_product_prices.usergroup_id in (0,1)"
        }
      }
    ]
  }
}

Result

product_id price
312833 1001.00000000
312835 1003.00000000
312856 1024.00000000
312857 1025.00000000
312858 1026.00000000
312859 1027.00000000
312860 1028.00000000
312861 1029.00000000
312862 1030.00000000
312863 1031.00000000
312869 1037.00000000
312872 1040.00000000