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The Grand Old Duke of York had 10 000 men. He lost 10% of them on way to the top of
the hill, and he lost 15% of the rest as he marched them back down the hill.
What percentage of the 10 000 men were still there when they reached the bottom of
the hill?


The Grand Old Duke Of York Had 10 000 Men He Lost 10 Of Them On Way To The Top Of The Hill And He Lost 15 Of The Rest As He Marched Them Back Down The Hill What class=

Sagot :

Answer:

76.5%

Step-by-step explanation:

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

10% of 10,000 men

= 0.1 * 10,000

= 1,000 men

Remaining men = 10,000 - 1,000

= 9,000 men

15% of the rest as he marched them back down the hill.

15% of 9,000 men

= 0.15 × 9000

= 1,350 men

Total men remaining = 9000 - 1,350

= 7,650 men

% remaining =

x% of 10000 men = 7,650

x/100 * 10,000 = 7,650

Cross product

10,000x =7,650 * 100

10,000x = 765,000

x = 765,000/10,000

= 76.5%

x = 76.5%