ABC26GN3091 · Ratio and Proportion

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

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.

Open in whiteboard · Browse this chapter in the app