If P :Q = 4 : 5 and q:r=2:3 then find 1=p:q:r
2=q:r
3=p:r
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Given p:q=r:s=t:u=2:3
⟹
q
p
=
s
r
=
u
t
=
3
2
Let p=r=t=2x and q=s=u=3x
Then
mq+ns+ou
mp+nr+ot
=
m×3x+n×3x+o×3x
m×2x+n×2x+o×2x
=
3x(m+n+o)
2x(m+n+o)
=
3
2
=2:3
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