In a game of billiards, A can give B, 15 points in 60 and A can give C, 20 points in 60. How many points can B give C in a game of 90?

10 points

The correct answer is Option (1) → 10 points

If A gives B 15 points in 60, then when A scores 60 points, B scores 45 points.

Hence, A : B = 60 : 45 = 4 : 3

Similarly, if A gives C 20 points in 60, then when A scores 60 points, C scores 40 points.

Hence, A : C = 60 : 40 = 3 : 2

Ratio of B to C : 3/4 : 2/3 = 9 : 8

This means, when B scores 9 points, C scores 8 points. Thus, the difference = 1 point.

So, in a game of 90 points, the difference will be: 90 × 1/9 = 10 points

Hence, B can give C 10 points.