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

Let initial men = 100

Lost in war = $frac{{10}}{{100}} imes 100 = 10$

Lost in diseases = $frac{{10}}{{100}} imes 90 = 9$

Disables= $frac{{81}}{{100}} imes 90 = 8.1$

∴ Remaining men = 72.9

When 72.9 remaining total men = 100

When 729000 remaining total men

= 1000000