Question : An army lost 10% of its men in a war. Afterwards, 10% of the remaining soldiers died due to disease, and 10% of the remaining were declared disabled. Consequently, the strength of the army was reduced to 7,29,000 active men. What was the original strength of the army?
Option 1: 15,00,000
Option 2: 10,00,000
Option 3: 12,00,000
Option 4: 11,00,000
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Correct Answer: 10,00,000
Solution :
Let's assume the total army persons originally = 100 units
Remaining = 100 x 0.9 x 0.9 x 0.9 = 72.9 units
According to the question,
72.9 units is equivalent to 729000
$\therefore$ Originally the total number of persons = 729000 x $\frac{100}{72.9}$ = 10,00,000
Hence, the correct answer is 10,00,000.
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