ABC26GN3162 · Ratio and Proportion

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

₹ 720 are divided among 2 men, 5 women and 8 boys so that the shares of a man, a woman and a boy are in the ratio of 3 : 2 : 1. How much does each boy get?
(a)₹ 24
(b)₹ 30
(c)₹ 45
(d)₹ 72
Answer
Answer (as printed): B
Explanation
Let the share of a man, a woman and a boy be ₹ $3 x$, ₹ $2 x$ and ₹ $x$ respectively. Then, $2 \times 3 x+5 \times 2 x+8 \times x=720$ $$\Rightarrow 24 x=720 \Rightarrow x=30 .$$ Hence, share of each boy $=₹ 30$.

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

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