An army lost 10 % of its men in war,10 % of t | vedclass

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(B) Let the original strength of the army be $A$.After losing $10 \%$ in war,the remaining strength is $A 	imes (1 - 0.10) = 0.9A$.After losing $10 \

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$1000000$

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(B) Let the original strength of the army be $A$.After losing $10 \%$ in war,the remaining strength is $A 	imes (1 - 0.10) = 0.9A$.After losing $10 \%$ of the remaining due to diseases,the strength becomes $0.9A 	imes (1 - 0.10) = 0.9A 	imes 0.9 = 0.81A$.After $10 \%$ of the rest were hurt,the final active strength is $0.81A 	imes (1 - 0.10) = 0.81A 	imes 0.9 = 0.729A$.Given that the final strength is $729000$,we have:$0.729A = 729000$$A = \frac{729000}{0.729}$$A = 1000000$Thus,the original strength was $1000000$ men.

An army lost $10 \%$ of its men in war,$10 \%$ of the remaining due to diseases,and $10 \%$ of the rest were hurt. Thus,the strength was reduced to $729000$ active men. Find the original strength.

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