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 (
    5558, 4470, 1906, 780, 2230, 1149, 1186, 
    1124, 1178, 1169, 1158, 1159, 1164, 
    1129, 1116, 1150
  ) 
  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 0.00441

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "38.41"
    },
    "grouping_operation": {
      "using_filesort": false,
      "table": {
        "table_name": "cscart_product_prices",
        "access_type": "range",
        "possible_keys": [
          "membership",
          "product_id",
          "lower_limit",
          "membership_id"
        ],
        "key": "product_id",
        "used_key_parts": [
          "product_id"
        ],
        "key_length": "3",
        "rows_examined_per_scan": 16,
        "rows_produced_per_join": 3,
        "filtered": "19.99",
        "index_condition": "(`ea201_francemaqu`.`cscart_product_prices`.`product_id` in (5558,4470,1906,780,2230,1149,1186,1124,1178,1169,1158,1159,1164,1129,1116,1150))",
        "cost_info": {
          "read_cost": "37.77",
          "eval_cost": "0.64",
          "prefix_cost": "38.41",
          "data_read_per_join": "76"
        },
        "used_columns": [
          "product_id",
          "price",
          "lower_limit",
          "usergroup_id",
          "percentage_discount"
        ],
        "attached_condition": "((`ea201_francemaqu`.`cscart_product_prices`.`lower_limit` = 1) and (`ea201_francemaqu`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
780 4.95000000
1116 2.80000000
1124 2.80000000
1129 2.80000000
1149 2.80000000
1150 2.80000000
1158 2.80000000
1159 2.80000000
1164 2.80000000
1169 2.80000000
1178 2.80000000
1186 2.80000000
1906 13.35000000
2230 7.95000000
4470 7.25000000
5558 26.15000000