ABC26GN3082 · Ratio and Proportion

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

In an innings of a cricket match, three players $A, B$ and $C$ scored a total of 361 runs. If the ratio of the number of runs scored by $A$ to that scored by $B$ and also number of runs scored by $B$ to that scored by $C$ be 3 : 2, the number of runs scored by $A$ was

(a)161

(b)171

(c)181

(d)185

Answer

Answer (as printed): B

Explanation

$A: B=3: 2, B: C=3: 2=\left(3 \times \frac{2}{3}\right):\left(2 \times \frac{2}{3}\right)=2: \frac{4}{3}$. $$\begin{aligned} & A: B: C=3: 2: \frac{4}{3}=9: 6: 4 . \\ & \therefore \text { A's score }=\left(361 \times \frac{9}{19}\right)=171 . \end{aligned}$$

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

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