ABC26GN3071 · Ratio and Proportion

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

A sum of money is shared in the ratio of 3 : 4 : 5. The smallest share is divided again in the ratio of 1 : 2. What fraction of the total sum of money is the larger of the two latter shares?
(a)$\frac{1}{3}$
(b)$\frac{1}{6}$
(c)$\frac{2}{3}$
(d)$\frac{1}{12}$
Answer
Answer (as printed): B
Explanation
Let the total sum be ₹ $x$. Then, smallest share $=₹\left(\frac{3}{12} x\right)=₹ \frac{x}{4}$. ∴ Larger share of the two $=₹\left(\frac{x}{4} \times \frac{2}{3}\right)=₹ \frac{x}{6}$.

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

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