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 (
    10696, 10695, 10693, 10692, 15958, 15957, 
    15956, 12600, 12602, 12604, 12606, 
    12608, 12603, 12615, 12597, 12609
  ) 
  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 0.00475

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": 16,
      "filtered": 99.23484039,
      "index_condition": "cscart_product_prices.product_id in (10696,10695,10693,10692,15958,15957,15956,12600,12602,12604,12606,12608,12603,12615,12597,12609)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
10692 2671.00000000
10693 2089.00000000
10695 1848.00000000
10696 1840.00000000
12597 46725.90000000
12600 4597.28000000
12602 4597.28000000
12603 14092.68000000
12604 4597.28000000
12606 4597.28000000
12608 2296.27000000
12609 14678.09000000
12615 15852.84000000
15956 6896.00000000
15957 4709.00000000
15958 5578.00000000