Let the initial population of the village be x.

Now, 5% of x = (5/100)*x = (x/20) people died due to bombardment.

So, (x - (x/20)) = (95/100)*x = 0.95x people are remaining in the village after the bombardment.

15% of 0.95x = (15/100)*(0.95x) = (0.15x) people left the village due to fear.

So, (0.95x - 0.15x) = (0.8x) people are remaining in the village after the bombardment and fear.

We know, (0.8x) = 3553 (given)

Therefore, 0.8x = 3553

⇒ x = (3553/0.8)

⇒ x = 4416.25

Hence, the initial population of the village = 4416.25

Rounding off,

Initial population of the village = 4400

Therefore, option D is the correct answer.

Explanation:

Population: Population refers to the total number of people inhabiting a particular place or area at a given time.

Bombardment: Bombardment refers to an action in which a place or an area is attacked with bombs or firearms.

Percentage: Percentage refers to a fraction or ratio expressed as a part of 100. It is denoted by the symbol ‘%’.

Formula:
Let the initial population of the village be x

Then, 5% of x = (5/100)*x = (x/20)

15% of 0.95x = (15/100)*(0.95x) = (0.15x)

So, (0.8x) = 3553

Therefore, 0.8x = 3553

⇒ x = (3553/0.8)

⇒ x = 4416.25

Rounding off,

Initial population of the village = 4400

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