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5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?

Correct answer: C. 4400

  • A. 3800
  • B. 4200
  • C. 4400
  • D. 5500

Explanation

After 5% die, 95% remain, and after 15% of that remainder leave, 85% of 95% remains: 0.95 x 0.85 = 0.8075. Therefore, 0.8075 x original population = 3553 people, so original population = 3553 / 0.8075 = 4400 people. The likely mistake is subtracting 15% from the original population instead of from the remaining population, leading to 4200 people.

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