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 (
    51033, 51026, 51035, 51059, 51066, 51041, 
    51069, 51070, 51038, 51023, 51056, 
    51040, 51050, 51065, 51034, 51039
  ) 
  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_info": {
      "query_cost": "11.21"
    },
    "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": 16,
        "rows_produced_per_join": 3,
        "filtered": "19.96",
        "index_condition": "(`test_uchur_k`.`cscart_product_prices`.`product_id` in (51033,51026,51035,51059,51066,51041,51069,51070,51038,51023,51056,51040,51050,51065,51034,51039))",
        "cost_info": {
          "read_cost": "10.89",
          "eval_cost": "0.32",
          "prefix_cost": "11.21",
          "data_read_per_join": "76"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`test_uchur_k`.`cscart_product_prices`.`lower_limit` = 1) and (`test_uchur_k`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
51023 44800.00000000
51026 54600.00000000
51033 59000.00000000
51034 59000.00000000
51035 70850.00000000
51038 98500.00000000
51039 74750.00000000
51040 56600.00000000
51041 68900.00000000
51050 58500.00000000
51056 68900.00000000
51059 16300.00000000
51065 10450.00000000
51066 7650.00000000
51069 4900.00000000
51070 4900.00000000