Question

In a group of mherchants, 80% of them purchase goods from Asia, and 25% of them purchase goods from Europe. Which of following statement is individually sufficient to calculate what percent of the merchants in the group purchase goods from Europe but not form Asia? 7. 25% of the merchants who purchase goods from Asia also purchase from Europe. 15% of all merchants purchase goods from neither Asia nor Europe 0% of all merchants purchase good from both Asia and Europe

Answer 1

7. 25% of the merchants who purchase goods from Asia also purchase from Europe.

Explanation:

I am going to say that:

A is the percentage of merchants who purchase goods from Asia.

B is the percentage of merchants who purchase goods from Europe.

We have that:

`A = a + (A \cap B)`

In which a is the probability that a merchant purchases goods from Asia but not from Europe and
`A \cap B` is the probability that a merchant purchases goods from both Asia and Europe.

By the same logic, we have that:

`B = b + (A \cap B)`

Which of following statement is individually sufficient to calculate what percent of the merchants in the group purchase goods from Europe but not form Asia?

We already have B.

Knowing
`A \cap B`, that is, the percentage of those who purchase from both Asia and Europe, we can find b.

So the correct answer is:

7. 25% of the merchants who purchase goods from Asia also purchase from Europe.