ABC26GN3117 · Ratio and Proportion

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

Two numbers are in the ratio 7 : 11. If 7 is added to each of the numbers, the ratio becomes 2 : 3. The smaller number is

(a)39

(b)49

(c)66

(d)77

Answer

Answer (as printed): B

Explanation

Let the numbers be $7 x$ and $11 x$ respectively. Then, $\frac{7 x+7}{11 x+7}=\frac{2}{3} \Rightarrow 21 x+21=22 x+14 \Rightarrow x=7$. $$\text { ∴ Smaller number }=7 \times 7=49 .$$

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

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