Question

If a salesman averages a new order every other week, he will break the office record for the year. However, after 28 weeks he is four orders behind schedule. In what proportion of the remaining weeks does he have to obtain a new order to break the record?

Answer 1

2/3

Explanation:

In a year, we have 52 weeks.

Since he is supposed to have a new order for every two weeks, he needs 52/2 = 26 orders to break the company record.

After 28 weeks, he has got only 28/2 = 14 orders.

He is 4 orders behind. So he has done 14 - 4 = 10 orders.

The sales man needs 26 - 10 = 16 more orders .

Although 28 weeks is gone, we have 52 - 28 = 24 weeks left.

If he needs to make 16 sales in 24 weeks, the proportion is 16/24 = 2/3

He needs to make 2 sales every week to break the record