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 (
    1186, 343, 17, 1429, 814, 197, 1428, 1434, 
    1437, 1439, 19, 151, 194, 195, 196
  ) 
  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 0.00145

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "17.26"
    },
    "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": 30,
        "rows_produced_per_join": 5,
        "filtered": "19.99",
        "index_condition": "(`testdobroded`.`cscart_product_prices`.`product_id` in (1186,343,17,1429,814,197,1428,1434,1437,1439,19,151,194,195,196))",
        "cost_info": {
          "read_cost": "16.66",
          "eval_cost": "0.60",
          "prefix_cost": "17.26",
          "data_read_per_join": "143"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`testdobroded`.`cscart_product_prices`.`lower_limit` = 1) and (`testdobroded`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
17 529.00000000
19 529.00000000
151 2295.00000000
194 279.00000000
195 279.00000000
196 279.00000000
197 369.00000000
343 329.00000000
814 349.00000000
1186 359.00000000
1428 309.00000000
1429 259.00000000
1434 329.00000000
1437 359.00000000
1439 679.00000000