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0.25 of the soldiers of an army died in combat, 0.15 was

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Asked: 1 year ago2024-02-28T10:00:00+05:30 2024-02-28T10:00:00+05:30In: Fraction

0.25 of the soldiers of an army died in combat, 0.15 was injured, 0.3 was captivated and the remaining 1200 soldiers escaped. How many soldiers were there in the army?

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a) 3800 soldiers

b) 4000 soldiers

c) 4400 soldiers

d) 4440 soldiers

correct answer is: b) 4000 soldiers

Explanation

Let, The whole soldiers in the army = '1'.
According to the question,
0.25 of the soldiers died, 0.15 was injured and 0.3 was captivated.
So that, the total number of soldiers died, injured and captivated were \left(0.25+0.15+0.3\right) in the army.
\rightarrow 0.7 soldiers in the army.
Hence, number of escaped soldiers were \left(1-0.7\right) or 0.3
So that,
0.3 of the soldiers in the army =1200
\therefore 1 or whole soldiers in the army =\left(1200\times\large\frac{1}{0.3}\right)
\rightarrow 1200\times\large\left(\frac{1\times10}{3}\right) [remove decimal]
\rightarrow 1200\times\large\frac{10}{3}
\rightarrow 4000
So that, there were 4000 soldiers in the army.
Ans: There were total 4000 soldiers in the army.

Other variants of this particular question are:
  1. Calculate the total number of soldiers in the army when 25% died, 15% were injured, 30% were captured, and the remaining 1200 escaped.
  2. Find out the initial strength of the army when 25% died, 15% were injured, 30% were captured, and the rest, 1200 soldiers, escaped.
  3. Calculate the original size of the army when percentages of soldiers were lost in combat and escapees numbered 1200, after 25% died, 15% were injured, and 30% were captured.
  4. What was the total number of soldiers in the army when casualties, injuries, and captures accounted for a fraction of the soldiers, and the remaining escaped, totaling 1200?
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