ABC26GN2920 · Ratio and Proportion
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
If p : q = r : s = t : u = 2 : 3, then find (mp + nr + ot) : (mq + ns + ou). p r t 2 2q 2s 2u
Answer
Explanation
$\frac{p}{q}=\frac{r}{s}=\frac{t}{u}=\frac{2}{3} \Rightarrow p=\frac{2q}{3}, r=\frac{2s}{3}, t=\frac{2u}{3}$. $$\therefore \quad \frac{mp+nr+ot}{mq+ns+ou}=\frac{m\times\frac{2q}{3}+n\times\frac{2s}{3}+o\times\frac{2u}{3}}{mq+ns+ou}=\frac{\frac{2}{3}(mq+ns+ou)}{(mq+ns+ou)}=\frac{2}{3}.$$
Explanation as extracted from the printed page; notation may be imperfect.
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