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 (
    1126, 1131, 1381, 1403, 1409, 1089, 1411, 
    1415, 1420, 1425, 1427, 1428
  ) 
  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 0.00113

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": 12,
      "filtered": 1.606963515,
      "index_condition": "cscart_product_prices.product_id in (1126,1131,1381,1403,1409,1089,1411,1415,1420,1425,1427,1428)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
1089 0.6600000000000000
1126 0.6600000000000000
1131 0.6600000000000000
1381 0.5900000000000000
1403 0.5900000000000000
1409 0.5900000000000000
1411 0.5900000000000000
1415 0.5900000000000000
1420 0.5900000000000000
1425 0.5900000000000000
1427 0.5900000000000000
1428 0.5900000000000000