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 (
    846, 845, 844, 832, 829, 828, 822, 817, 
    816, 662, 814, 806
  ) 
  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 0.00061

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "9.31"
    },
    "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": 14,
        "rows_produced_per_join": 2,
        "filtered": "19.93",
        "index_condition": "(`betaatif_store`.`cscart_product_prices`.`product_id` in (846,845,844,832,829,828,822,817,816,662,814,806))",
        "cost_info": {
          "read_cost": "9.03",
          "eval_cost": "0.28",
          "prefix_cost": "9.31",
          "data_read_per_join": "66"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`betaatif_store`.`cscart_product_prices`.`lower_limit` = 1) and (`betaatif_store`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
662 9455.90000000
806 12658.00000000
814 6995.00000000
816 14554.11000000
817 14554.11000000
822 10341.00000000
828 3306.25000000
829 3901.38000000
832 4232.00000000
844 2800.00000000
845 2480.00000000
846 12460.01000000