10% of the soldiers of an army are killed in the battle.

10% of the soldiers of an army are killed in the battle. 10% of the remaining soldiers died of disease and 10% of the remaining men were disabled. Now only 729000 soldiers are left in the army. How many soldiers were there in all in the army in the beginning ?

Let the total number of soldiers in all in the army in the beginning = 100.
∴ Number of soldiers killed in the battle

=	10	× 100 = 10
	100

∴ Remaining soldiers
= 100 – 10 = 90
Number of soldiers who died of disease

=	10	× 90 = 9
	100

∴ Remaining soldiers = 90–9= 81
Number of disabled soldiers

=	10	× 81 =	81
	100		10

∴ Remaining soldiers

= 81 –	81	=	810 - 81	=	729
	10		10		10

∴ If	729	soldiers are left,
	10

hen total number of soldiers = 100
∴ If 1 soldier is left, then total number of soldiers

=	100 × 10
	729

∵ If 729000 soldiers are left, then total number of soldiers

=	100 × 10 × 729000	= 1000000
	729