In a small village of 500 people, 350 speak the local language while 200 speak…

Mathematics JAMB 2006

In a small village of 500 people, 350 speak the local language while 200 speak pidgin English. What percentage of the population speak both.

  • 30%
  • 10% checkmark
  • 50%
  • 14%

The correct answer is: B

Explanation

Let n(L∊P) = x
n(L) only = 350 - x
n(P) only = 200 - x
∴350 - x + x + 200 - x = 500
550 - x = 500
x = 550 - 500
x = 50 speak both
∴x% = (50/500) * (100/1)
= 10%
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