Question

A telemarketing company calls telephone numbers chosen at random. It finds that 30% of calls are not completed (the party does not answer or refuses to talk), that 40% result in talking to a woman, and that 30% result in talking to a man. After that point, 45% of the women and 40% of the men actually buy something. What percent of calls result in a sale?

Answer 1

Answer:

21%

Step-by-step explanation:

Actually there are three levels of process here.

If 100 calls are made only 70 calls are completed (since 30%not completed)

Out of these 70 completed we find that 40% i.e. 28 calls to a woman and 30% i.e. 21 go to a man.

28 females and 21 males

Out of 28 females 45% buy something =$0.45*28=12.6$

Out of 21 males 40% buy something = $0.4*21=8.4$

Total percent of calls result in a sale = $12.6+8.4=21$

So 21% of calls result in a sale