ABC26GN3123 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2010 · Marks: · Difficulty:

Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each, they are in the ratio of 12 : 23. What is the larger number?

(a)40

(b)45

(c)55

(d)60

Answer

Answer (as printed): C

Explanation

Let the numbers be $3 x$ and $5 x$. Then, $\frac{3 x-9}{5 x-9}=\frac{12}{23} \Rightarrow 23(3 x-9)=12(5 x-9)$ $$\begin{aligned} & \Rightarrow 69 x-207=60 x-108 \Rightarrow 9 x=99 \Rightarrow x=11 . \\ & \therefore \text { Larger number }=5 \times 11=55 . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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