Prs is similar to rqs. if the ratio of the perimeter of rqs to the perimeter of prs is 3: 2, and pr is 4 less than qr, find pr
a.4
b.8
c.12
d.16

There are numerous information's already given in the question. Based on these information's the answer to the question can be easily deduced.
The first equation that we can deduce from the question is
QR/PR = 3/2
2QR = 3PR
PR = 2QR/3
The second equation is
PR = QR - 4
Putting the value of PR from first equation in the second, we get
PR = QR - 4
2QR/3 = QR - 4
2QR = 3QR - 12
2QR - 3QR = - 12
-QR = -12
QR = 12
Then
PR = QR - 4
      = 12 - 4
      = 8
The correct option is option "B".

This does not make sense