# If p : q = r : s = t : u = 2 : 3, then (mp + nr + ot) : (mq + ns + ou) is equal to :

If p : q = r : s = t : u = 2 : 3, then (mp + nr + ot) : (mq + ns + ou) is equal to :
[A]3 : 2
[B]1 : 3
[C]1 : 2
[D]2 : 3

2 : 3
If $\frac{a}{b} = \frac{c}{d} = \frac{e}{f}$, then each of these ratios is equal to $\frac{a+c+e}{b+d+f}$
Here,
$\frac{p}{q} = \frac{r}{s} = \frac{t}{u} = \frac{2}{3}$
$=> \frac{mp}{mq} = \frac{nr}{ns} = \frac{ot}{ou} = \frac{2}{3}$
$=> \frac{mp+ nr+ot}{mq+ns+ou} = \frac{2}{3} or 2:3$
Hence option [D] is the right answer.