n(P) = Number of businesses showed net profits = 21

n(F) = Number of businesses made foreign investments = 15

\(n(P\cap F)\) = Number of businesses made foreign investments and had net profits

\(n(Neither)\) = Number of businesses who neither made foreign investments nor had any net profits

\(n(Total) =\) Total number of businesses = 30

Formula;

\(n(Total) = n(P) + n(F) - n(P\cap F) + n(Neither)\)

\(30=21+15-n(P\cap F)+n(Neither)\) ----- 1

To find;

Number of businesses that reported ONLY net profit but had no foreign investment

If we find \(n(P\cap F)\), then we would know the above information.

1. \(n(P\cap F)\) = 10

Thus,

Number of businesses that reported ONLY net profit but had no foreign investment = n(P) - 10 = 21-10 = 11

Sufficient.

2. \(n(Neither)\) = 10

Substituting it in the equation 1, we will get;

\(n(P\cap F) = 10\)

Thus,

Number of businesses that reported ONLY net profit but had no foreign investment = n(P) - 10 = 21-10 = 11

Sufficient.

Ans: "D"

_________________

~fluke

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