ABC26GN3083 · Ratio and Proportion

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

₹ 8400 are divided among $A, B, C$ and $D$ in such a way that the shares of $A$ and $B, B$ and $C$ as well as $C$ and $D$ are in the ratios of $2: 3,4: 5$ and $6: 7$ respectively. The share of $A$ is

(a)₹ 1280

(b)₹ 1320

(c)₹ 8210

(d)₹ 8400

Answer

Answer (as printed): A

Explanation

$A: B=2: 3, B: C=4: 5=\left(4 \times \frac{3}{4}\right):\left(5 \times \frac{3}{4}\right)=3: \frac{15}{4}$, $$\begin{aligned} & C: D=6: 7=\left(6 \times \frac{5}{8}\right):\left(7 \times \frac{5}{8}\right)=\frac{15}{4}: \frac{35}{8} . \\ & A: B: C: D=2: 3: \frac{15}{4}: \frac{35}{8}=16: 24: 30: 35 . \end{aligned}$$ Sum of ratio terms $=(16+24+30+35)=105$. $$\text { ∴ A's share }=₹\left(8400 \times \frac{16}{105}\right)=₹ 1280 .$$

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

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