Presenting the Venn diagram approach of the solution

Interpreting the given infoWe are told about 30 businesses of which 21 reported a net profit and 15 had investments in foreign markets.Refer the venn diagram below:

As the total number of businesses is 30 we can write a + b + c + d = 30

Also, 21 firms reported a net profit, that would give us a + b =21. Also, it would give us c + d = 9

Similarly, 15 firms had investments in foreign markets, that would give us b + c = 15. Also it would give us a + d = 15.

We need to find the number of businesses that did not report a net profit nor invest in foreign market i.e. d. Let's see if the statements provide us the information to find a definite value of d

Statement-ISt-I tells us that 12 businesses reported net profit and had investments in foreign markets i.e.

b = 12. This would give us the value of a = 9.

We know that a + d = 15 i.e. d = 6.

Hence st-I is sufficient to answer the question.

Statement-IISt-II tells us that 24 businesses reported a net profit or invested in foreign markets or both i.e.

a + b + c = 24Since a + b + c + d = 30 we can find the value of d = 6

Hence st-II is sufficient to answer the question.

Answer is option D

Hope this helps

Regards

Harsh

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