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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.
The Grand Old Duke of York
Age 14 to 16
ShortChallenge Level 
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.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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