Question

90 people applied for a job as a salesperson for a book publishing company. 10 of the applicants had never worked in sales or in publishing business. 65 had worked in sales at some point and 58 had some background in publishing.How many of the applicants had experience in both sales and publishing ?​

Answer 1

The number of  applicants had experience in both sales and publishing is 43.

Explanation:

As per given ,

The number of people applied for a job as a salesperson for a book publishing company : U= 90

Let A = number of applicants have experience in sales.

B = number of applicants have experience in publishing.

Then, A' = number of applicants have no experience in sales.

B' = number of applicants have no experience in publishing.

Number of applicants had never worked in sales or in publishing business.

A'∩B' = 10

Since A'∩B' = U- A ∪B

⇒ A ∪B = U- A'∩B' = 90-10=80

Also, A ∪B  = A+B- A∩B

Put A= 65 ,B= 58 and A ∪B =80, we get

80 = 65+58- A∩B

⇒  A∩B= 123-80 =43

Therefore ,the number of  applicants had experience in both sales and publishing  = 43

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