An army lost 10 of its men in war 10 of the remaining due to diseases and 10 of the rest were disabl...........

Quant (SSC) Percentage

An army lost 10% of 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.

1000000

1500000

2000000

750000

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Explanation:

Let there be 100 men in the beginning.
After losing 10% of 100 in war = 100 – 10 = 90
After losing 10% of remaining due to diseases = (100 – 10)% of 90 = 81
After losing 10% of rest due to disability = (100 – 10)% of 81 = 72.9
Now, 72.9 : 100 : : 729000 : x
∴ x = 100 x 729000 /72.9 = 1000000