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 $latex \frac{a}{b} = \frac{c}{d} = \frac{e}{f}&s=1$, then each of these ratios is equal to $latex \frac{a+c+e}{b+d+f}&s=1$
Here,
$latex \frac{p}{q} = \frac{r}{s} = \frac{t}{u} = \frac{2}{3}&s=1$
$latex => \frac{mp}{mq} = \frac{nr}{ns} = \frac{ot}{ou} = \frac{2}{3}&s=1$
$latex => \frac{mp+ nr+ot}{mq+ns+ou} = \frac{2}{3} or 2:3&s=1$
Hence option [D] is the right answer.