Mathematics

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

In a small village of 500 people, 350 speak the local language while 200 speak pidgin English. What percentage of the population speak both.
  • A.
    30%
  • B.
    10%
  • C.
    50%
  • D.
    14%
Correct Answer: Option 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%