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 (
    5666, 5667, 3137, 1473, 1474, 1475, 1476, 
    1477, 5182, 5183, 5184, 5185, 5186, 
    5187, 1461, 1462, 1463, 1464, 1465, 
    5170, 5171, 5172, 5173, 5174
  ) 
  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 0.00094

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "16.81"
    },
    "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": 24,
        "rows_produced_per_join": 4,
        "filtered": "20.00",
        "index_condition": "(`gaseus`.`cscart_product_prices`.`product_id` in (5666,5667,3137,1473,1474,1475,1476,1477,5182,5183,5184,5185,5186,5187,1461,1462,1463,1464,1465,5170,5171,5172,5173,5174))",
        "cost_info": {
          "read_cost": "16.33",
          "eval_cost": "0.48",
          "prefix_cost": "16.81",
          "data_read_per_join": "115"
        },
        "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
1461 0.00000000
1462 0.00000000
1463 0.00000000
1464 0.00000000
1465 0.00000000
1473 0.00000000
1474 0.00000000
1475 0.00000000
1476 0.00000000
1477 0.00000000
3137 608.00000000
5170 0.00000000
5171 0.00000000
5172 0.00000000
5173 0.00000000
5174 0.00000000
5182 0.00000000
5183 0.00000000
5184 0.00000000
5185 0.00000000
5186 0.00000000
5187 0.00000000
5666 0.00000000
5667 0.00000000