If ₹ 1066 are divided among A, B, C and D such that A: B=3: 4, B: C=5: 6 and C: D=7: 5, who will get the… · ABC26GN3091

Subject: General Aptitude · Chapter: Ratio and Proportion

If ₹ 1066 are divided among $A, B, C$ and $D$ such that $A: B=3: 4, B: C=5: 6$ and $C: D=7: 5$, who will get the maximum?
(a)$A$
(b)$B$
(c)$C$
(d)$D$
Answer
Answer (as printed): C
Explanation
$A: B=3: 4, B: C=5: 6=\left(5 \times \frac{4}{5}\right):\left(6 \times \frac{4}{5}\right)=4: \frac{24}{5}$, $$\begin{aligned} & C: D=7: 5=\left(7 \times \frac{24}{35}\right):\left(5 \times \frac{24}{35}\right)=\frac{24}{5}: \frac{24}{7} . \\ & \therefore A: B: C: D=3: 4: \frac{24}{5}: \frac{24}{7}=105: 140: 168: 120 . \end{aligned}$$ Clearly, $C$ will get the maximum.

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

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