Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
A sum of ₹ 427 is to be divided among A, B and C in such a way that 3 times A's share, 4 times B's share and 7 times C's share are all equal. Find the share of each.
Answer
Answer (as printed):
Explanation
$3A=4B=7C=k$ (say) $\Rightarrow A=\frac{k}{3}, B=\frac{k}{4}, C=\frac{k}{7} \Rightarrow A:B:C=\frac{1}{3}:\frac{1}{4}:\frac{1}{7}=28:21:12$. Sum of ratio terms $=(28+21+12)=61$. $\therefore$ A's share $=₹\left(427 \times \frac{28}{61}\right)=₹196$; B's share $=₹\left(427 \times \frac{21}{61}\right)=₹147$; C's share $=₹\left(427 \times \frac{12}{61}\right)=₹84$.
Explanation as extracted from the printed page; notation may be imperfect.