In a game of 80 points, A can give B 5 points and C 15 points. How many points B can give C in a game of 60?… · ABC26GN5112

Subject: General Aptitude · Chapter: Races and Games of Skill

In a game of 80 points, A can give B 5 points and C 15 points. How many points B can give C in a game of 60? (a) 8 points (b) 10 points (c) 20 points (d) 12 points
Answer
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Explanation
$A: B=80: 75$ and $A: C=80: 65$. $\frac{B}{C}=\left(\frac{B}{A} \times \frac{A}{C}\right)=\left(\frac{75}{80} \times \frac{80}{65}\right)=\frac{15}{13}=\left(\frac{15 \times 4}{13 \times 4}\right)=\frac{60}{52} \Rightarrow B: C=60: 52$. Hence, in a game of 60, B can give C 8 points.

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

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