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The population of a village is 5000. If in a year, the number of males were to increase by 5% and that of females by 3% annually, the population would grow to 5202 at the end of the year. If M is…

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The population of a village is 5000. If in a year, the number of males were to increase by 5% and that of females by 3% annually, the population would grow to 5202 at the end of the year. If M is the number of males and F is the number of females in the village, then (M,F) =
  1. (3000, 2000)
  2. (2800, 2200)
  3. (2600, 2400)
  4. (2700, 2300)

Answer and explanation

Correct answer: C - (2600, 2400)
M+F = 5000 and 0.05M+0.03F = 202. Since 0.03 x 5000 = 150, 0.02M = 52, so M = 2600 and F = 2400.

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