The Grand Old Duke of York

What percentage of his 10,000 men did the Grand Old Duke of York have left when he arrived back at the bottom of the hill?

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Problem



The Grand Old Duke of York had $10 000$ men.

He lost $10\%$ of them on the way to the top of the hill.

He then lost $15\%$ of the rest on the way back down.

What percentage of his $10,000$ men remained when he got to the bottom of the hill?

If you liked this probelm, here is an NRICH task that challenges you to use similar mathematical ideas.