A leading Labour MP has called for a formal investigation into allegations top public schools including Stowe were willing to accept large cash donations in return for offering places.

David Fletcher, the school's registrar until last week, was filmed saying a six-figure payment would be helpful when there was a “marginal decision” over whether a pupil should be admitted.

Mr Fletcher, 60, claimed one overseas family had recently given £100,000 towards a project at the school, which is a registered charity, to help secure a place for their child - something the school has denied.