An army lost 10% of its men in war, 10% of the remaining

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An army lost 10% of its men in war, 10% of the remaining died due to disease and 10% of the rest were declared disabled. Thus the strength of the army was reduced to 7,29,000 active men. The original strength of the army was

1. 1500000
2. 1000000
3. 1200000
4. 1100000

Correct Option: B

Initial number of soldiers in the army = x
According to the question,

x ×	90	×	90	×	90	= 729000
	100		100		100

⇒ x =	729000 × 1000	= 1000000
	9 × 9 × 9