# Can you calculate, what wage expense the Company bears for Group I and Group IV members?

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The workforce of a firm is divided into 4 groups for allocation to different projects. Each group is a motley of Managers, Technicians and Executives.
Group I : 1 Manager, 1 Technician and 1 Executive
Group II : 1 Manager, 5 Technicians and 7 Executives
Group III : 1 Manager, 7 Technicians and 10 Executives
Group IV : 9 Managers, 23 Technicians and 30 Executives
The cumulative wage of all the members of Group II costs \$300 and that of Group III members costs \$390.
Can you calculate, what wage expense the Company bears for Group I and Group IV members?

posted Sep 11, 2015

+1 vote

Group 1 = 120
Group 4 = 1710

answer Sep 11, 2015 by anonymous
What is the logic ???
Simple algebra....
As per Grp2 - x+5y+7z=300
As per Grp 3 - x+7y+10z =390

3* Grp2 - 2*Grp2 will give x+y+z = 3*300-2*390 = 120. This is Group 1 answer.
Similarly,
7* Grp2 - 5* Grp3 will give
2x-z =150.... let's assume this is Grp5. We use later.
Now
6* Grp2- Grp3+ 2* Grp5 will give
9x+23y+30z = 6*300-390+2*150 = 1710.... this is Group 4.

Br... Manish

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