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An army lost 15% of its men in a war, 35% of the remaining died due to some disease and 25% of the rest were disabled. Thus, the strength of the army reduced to 6630 able men. What was the original strength of the army?
  • a)
    12,000
  • b)
    13,750
  • c)
    14,000
  • d)
    16,000
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
An army lost 15% of its men in a war, 35% of the remaining died due t...
To solve this problem, we can work backwards from the given information. Let's break down the steps:

1. Let's assume the original strength of the army is "x".
2. The army lost 15% of its men in the war, which means (100% - 15%) = 85% of the original strength remained.
3. Next, 35% of the remaining men died due to disease, which means (100% - 35%) = 65% of the previous step remained.
4. Finally, 25% of the remaining men were disabled, which means (100% - 25%) = 75% of the previous step remained.
5. According to the question, the remaining men after all these reductions is equal to 6630.

Now, let's put this information into an equation:

x * (85/100) * (65/100) * (75/100) = 6630

Simplifying the equation:

x * (0.85) * (0.65) * (0.75) = 6630

x * 0.418875 = 6630

x = 6630 / 0.418875

x ≈ 15,821.92

Since the number of men in the army must be a whole number, the original strength of the army is approximately 16,000. Therefore, the correct answer is option D) 16,000.
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Community Answer
An army lost 15% of its men in a war, 35% of the remaining died due t...
Let the original strength of the army be ‘x’.
According to the question,
Therefore, x = 16,000
Options (4) is correct.
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An army lost 15% of its men in a war, 35% of the remaining died due to some disease and 25% of the rest were disabled. Thus, the strength of the army reduced to 6630 able men. What was the original strength of the army?a)12,000b)13,750c)14,000d)16,000Correct answer is option 'D'. Can you explain this answer?
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