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 (
    344, 345, 346, 412, 413, 414, 1366, 1367, 
    1368, 1369, 1370, 1371, 1372, 1373, 
    1374, 1375, 1376, 1377, 1378, 1379, 
    1380, 1381, 1382, 1383
  ) 
  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 0.00076

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 (344,345,346,412,413,414,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383))",
        "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
344 0.00000000
345 0.00000000
346 0.00000000
412 0.00000000
413 0.00000000
414 0.00000000
1366 0.00000000
1367 0.00000000
1368 0.00000000
1369 0.00000000
1370 0.00000000
1371 0.00000000
1372 0.00000000
1373 0.00000000
1374 0.00000000
1375 0.00000000
1376 0.00000000
1377 0.00000000
1378 0.00000000
1379 0.00000000
1380 0.00000000
1381 0.00000000
1382 0.00000000
1383 0.00000000