The statement implies that parents are willing to pay any price for their children's education, which suggests a strong desire for their children's development through good schooling. This aligns with Conclusion II.
Conclusion I ("All parents these days are very well off") does not logically follow from the statement, as it only mentions that parents are prepared to pay, not that all of them are financially well-off. Therefore, only Conclusion II follows.
So, the correct option is (B): If only conclusion II follows.