A telemarketer calls people and tries to sell them a subscrip- tion to a daily newspaper. On 21% of her calls, there is no an- swer or the line is busy. She sells subscriptions to 8% of the remaining calls. For what proportion of calls does she make a sale?

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windyyork windyyork · Answer 1 · 2020-01-17T06:34:23+01:00

Answer: The proportion of calls she make a sale is 6.32%.

Step-by-step explanation:

Since we have given that

Percentage of her calls is no answer or line is busy = 21%

So, Percentage of remaining calls = 79%

Percentage of remaining calls she sells subscription = 8%

According to question, we get that

8% of 79%

[tex]\dfrac{8}{100}\times 79\\\\=0.08\times 79\\\\=6.32\%[/tex]

Hence, the proportion of calls she make a sale is 6.32%.

ApusApus ApusApus · Answer 2 · 2020-01-17T06:42:08+01:00

Answer:

[tex]\frac{79}{1250}[/tex]

Step-by-step explanation:

We have been given that on 21% of a telemarketer's calls, there is no answer or the line is busy.

Let us find the percent of people, which answer calls by subtracting 21% from 100% as:

[tex]100\%-21\%=79\%[/tex]

We are also told that she sells subscriptions to 8% of the remaining calls. Let us find 8% of remaining (79%) calls.

[tex]\text{8 percent of remaining calls}=\frac{79}{100}\times \frac{8}{100}[/tex]

[tex]\text{8 percent of remaining calls}=\frac{79\times 8}{100\times 100}[/tex]

[tex]\text{8 percent of remaining calls}=\frac{632}{10000}[/tex]

[tex]\text{8 percent of remaining calls}=\frac{79*8}{1250*8}[/tex]

[tex]\text{8 percent of remaining calls}=\frac{79}{1250}[/tex]

Therefore, she makes a sale of 79 out of 1250 calls.