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 (
    62862, 62365, 62658, 62428, 64363, 62412, 
    62420, 65530, 65443, 65429, 65430, 
    65446, 65440, 65449, 65480, 65444, 
    65471, 65427, 65431, 65437, 65447, 
    65470, 65442, 65445
  ) 
  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 0.00089

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_product_prices",
      "access_type": "range",
      "possible_keys": ["usergroup", "product_id", "lower_limit", "usergroup_id"],
      "key": "product_id",
      "key_length": "9",
      "used_key_parts": ["product_id", "usergroup_id", "lower_limit"],
      "rowid_filter": {
        "range": {
          "key": "lower_limit",
          "used_key_parts": ["lower_limit", "product_id", "usergroup_id"]
        },
        "rows": 48,
        "selectivity_pct": 1.779095626
      },
      "rows": 48,
      "filtered": 100,
      "index_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.product_id in (62862,62365,62658,62428,64363,62412,62420,65530,65443,65429,65430,65446,65440,65449,65480,65444,65471,65427,65431,65437,65447,65470,65442,65445) and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
62365 490.000000
62412 505.000000
62420 495.000000
62428 575.000000
62658 565.000000
62862 495.000000
64363 460.000000
65427 385.000000
65429 395.000000
65430 395.000000
65431 440.000000
65437 380.000000
65440 380.000000
65442 445.000000
65443 455.000000
65444 455.000000
65445 500.000000
65446 465.000000
65447 495.000000
65449 475.000000
65470 575.000000
65471 445.000000
65480 525.000000
65530 780.000000