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Ratio

by phoenix9801 » Sun Jun 03, 2012 8:30 am
A company has two sales divisions: foreign and domestic. If the average sales person from the former sells 3/4 as much as the average sales person from the latter, what fraction of the total sales from the two divisions were sold by the division dedicated to foreign sales if the other division has 25% more sales people?


A) 1/2
B) 2/5
C) 3/8
D) 4/5
E) 5/8
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by Birottam Dutta » Sun Jun 03, 2012 8:53 am
Let sale by a domestic sales person be X.

Therefore, sales by a foreign sales person = 3/4X.

Let strength of foreign dept be Y.

Then, strength of domestic dept =1.25Y.

Total sales of domestic dept.= 1.25Y * X = 5/4 XY

Total sales of foreign dept = Y *3/4X.

Ratio of foreign sales to total sales = 3/4XY/(3/4XY + 5/4XY) = 3/8.

Therefore, answer is C!
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by coolhabhi » Sun Jun 03, 2012 8:55 am
number of sales people in foreign sales = 100
Hence, number of sales people in domestic sales = (100 + 25% of 100) = (100 + 25) = 125

the required ratio = (Number of sales person in foreign)/(Number of total sales person)
= 100/(100 + 125) = 100/225
= 4/9

answer is [spoiler]4/9[/spoiler]
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