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
A) 1500000 B) 1000000 C) 1200000 D) 1100000
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Answer: original army be x
x*90/100 *90/100 *90/100 = 729000
x = 100/90 *100/90 *100/90 *729000
x = 1000000
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- The original strength of the Army was 10,00,000.
Step-by-step explanation:
Suppose the Army has 100 men
Then number of the lost men = 10% of 100
Remainder = 90
Men died due to disease = 10% of 90
Now Remainder = 90 - 9 = 81
Men declared disabled = 10% of 81
Remainder = 81 - 8.1 = 72.9
If the reduced strength is 72.9,original strength = 100
If the reduced strength is 729000,original strength
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