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 (
    5623, 5624, 5625, 5626, 5627, 5628, 5629, 
    5630, 5631, 5632, 5633, 5634, 5635, 
    5636, 5637, 5638, 5639, 5640, 5641, 
    5642, 5643, 5644, 5645, 5646, 5647, 
    5648, 5649, 5650, 5651, 5652, 5653, 
    5654, 5655, 5656, 5657, 5658, 5659, 
    5660, 5661, 5662, 5663, 5664, 5665, 
    5666, 5667, 3137, 1473, 1474
  ) 
  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 0.00092

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "34.06"
    },
    "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": 49,
        "rows_produced_per_join": 9,
        "filtered": "20.00",
        "index_condition": "(`gaseus`.`cscart_product_prices`.`product_id` in (5623,5624,5625,5626,5627,5628,5629,5630,5631,5632,5633,5634,5635,5636,5637,5638,5639,5640,5641,5642,5643,5644,5645,5646,5647,5648,5649,5650,5651,5652,5653,5654,5655,5656,5657,5658,5659,5660,5661,5662,5663,5664,5665,5666,5667,3137,1473,1474))",
        "cost_info": {
          "read_cost": "33.08",
          "eval_cost": "0.98",
          "prefix_cost": "34.06",
          "data_read_per_join": "235"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`gaseus`.`cscart_product_prices`.`lower_limit` = 1) and (`gaseus`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
1473 0.00000000
1474 0.00000000
3137 608.00000000
5623 0.00000000
5624 0.00000000
5625 0.00000000
5626 0.00000000
5627 0.00000000
5628 0.00000000
5629 0.00000000
5630 0.00000000
5631 0.00000000
5632 0.00000000
5633 0.00000000
5634 0.00000000
5635 0.00000000
5636 0.00000000
5637 0.00000000
5638 0.00000000
5639 0.00000000
5640 0.00000000
5641 0.00000000
5642 0.00000000
5643 0.00000000
5644 0.00000000
5645 0.00000000
5646 0.00000000
5647 0.00000000
5648 0.00000000
5649 0.00000000
5650 0.00000000
5651 0.00000000
5652 0.00000000
5653 0.00000000
5654 0.00000000
5655 0.00000000
5656 0.00000000
5657 0.00000000
5658 0.00000000
5659 0.00000000
5660 0.00000000
5661 0.00000000
5662 0.00000000
5663 0.00000000
5664 0.00000000
5665 0.00000000
5666 0.00000000
5667 0.00000000