Question

A telemarketer calls people and tries to sell them a subscription to a daily newspaper. On 22% of her calls, there is no answer or the line is busy. She sells subscriptions to 10% of the remaining calls. For what proportion of calls does she make a sale? Give your answer as a decimal, and do not round.

Answer 1

She makes 7.8% portion of sales collectively.

Explanation:

Let us assume she makes total of 100 calls.

The percentage of calls which are busy or unanswered = 22 %

So, now calculating 22% of 100 , we get:

`(22)/(100) * 100 = 22`

So, 22 of her calls are UNANSWERED.

Now, let us find out the number of calls successfully made by telemarketer.

Total successful calls = Total Calls made - Number of unanswered calls

= 100 - 22 = 78

So, she makes a total of 78 calls successfully.

Now, he sells subscriptions to 10% of the 78 calls made successfully.

So, now calculating 10% of 78 , we get:

`(10)/(100) * 78 = 7.8`

So, she sold 7.8 subscriptions in total out of 100 attempts.

Also, as we know 7.8 out of 100 = 7.8% of 100.

Hence, she makes 7.8% portion of sales collectively.