ABC26GN3068 · Ratio and Proportion
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2011 · Marks: · Difficulty:
The numbers $x, y, z$ are proportional to 2, 3, 5. The sum of $x, y, z$ is 100. If $y=p x-10$, then $p$ is equal to
(a)$\frac{3}{2}$
(b)2
(c)$\frac{5}{2}$
(d)3
Answer
Explanation
$x: y: z=2: 3: 5$. $$\begin{aligned} & \therefore x=\left(100 \times \frac{2}{10}\right)=20 ; y=\left(100 \times \frac{3}{10}\right)=30 . \\ & y=p x-10 \Rightarrow 30=20 p-10 \Rightarrow 20 p=40 \Rightarrow p=2 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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