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 (
    1068, 1071, 1083, 1077, 1069, 1082, 1072, 
    1084, 1076, 1065, 1073, 1078
  ) 
  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 0.00060

JSON explain

{
  "query_block": {
    "select_id": 1,
    "nested_loop": [
      {
        "table": {
          "table_name": "cscart_product_prices",
          "access_type": "range",
          "possible_keys": [
            "usergroup",
            "product_id",
            "lower_limit",
            "usergroup_id"
          ],
          "key": "product_id",
          "key_length": "3",
          "used_key_parts": ["product_id"],
          "rows": 12,
          "filtered": 99.67742157,
          "index_condition": "cscart_product_prices.product_id in (1068,1071,1083,1077,1069,1082,1072,1084,1076,1065,1073,1078)",
          "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
        }
      }
    ]
  }
}

Result

product_id price
1065 1350.00000000
1068 1800.00000000
1069 700.00000000
1071 900.00000000
1072 950.00000000
1073 950.00000000
1076 1800.00000000
1077 950.00000000
1078 1500.00000000
1082 980.00000000
1083 780.00000000
1084 780.00000000