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 (
    802, 856, 639, 645, 653, 655, 657, 663, 
    671, 674, 682, 691
  ) 
  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 0.00075

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "28.81"
    },
    "grouping_operation": {
      "using_filesort": false,
      "table": {
        "table_name": "cscart_product_prices",
        "access_type": "range",
        "possible_keys": [
          "usergroup",
          "product_id",
          "lower_limit",
          "usergroup_id"
        ],
        "key": "product_id",
        "used_key_parts": [
          "product_id"
        ],
        "key_length": "3",
        "rows_examined_per_scan": 12,
        "rows_produced_per_join": 2,
        "filtered": "19.98",
        "index_condition": "(`eshopuga_upgr_4122`.`cscart_product_prices`.`product_id` in (802,856,639,645,653,655,657,663,671,674,682,691))",
        "cost_info": {
          "read_cost": "28.33",
          "eval_cost": "0.48",
          "prefix_cost": "28.81",
          "data_read_per_join": "57"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`eshopuga_upgr_4122`.`cscart_product_prices`.`lower_limit` = 1) and (`eshopuga_upgr_4122`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
639 3.330000
645 1.330000
653 0.550000
655 5.000000
657 2.870000
663 4.800000
671 1.920000
674 3.620000
682 4.720000
691 4.730000
802 2.500000
856 2.000000