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 (
    10061, 10062, 10063, 10064, 10065, 10066, 
    10067, 10068, 10069, 10070, 10071, 
    10072, 12944, 10103, 10104, 10105, 
    10106, 10144, 10145, 10146
  ) 
  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 0.00045

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": "3",
      "used_key_parts": ["product_id"],
      "rows": 20,
      "filtered": 99.23484039,
      "index_condition": "cscart_product_prices.product_id in (10061,10062,10063,10064,10065,10066,10067,10068,10069,10070,10071,10072,12944,10103,10104,10105,10106,10144,10145,10146)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
10061 1929.60000000
10062 1929.60000000
10063 1929.60000000
10064 1929.60000000
10065 1929.60000000
10066 1929.60000000
10067 1929.60000000
10068 1929.60000000
10069 1929.60000000
10070 1929.60000000
10071 1929.60000000
10072 1929.60000000
10103 4702.31000000
10104 4702.31000000
10105 4702.31000000
10106 4702.31000000
10144 1606.00000000
10145 1606.00000000
10146 1606.00000000
12944 1560.00000000