Possible Clues:

• Peak some climb in severe storm
• Huge achievement — highest climb
• Its namesake, a former Surveyor General of India, objected to having it named for him
• Always set out for the highest peak
• The Tibetans call it Chomolungma
• Hillary and Norgay's conquest
• 'Into Thin Air' peak
• She might have a high time on holiday there
• Mountain on the Nepal-Tibet border
• By the sound of it, no hire amount