In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C how many points in the same game?
Explanation:
A can give 20 points to B is same as A giving a headstart of 20 points to B, i.e., when the game begins A starts with 0 points whereas B starts with 20 points.
Hence, when A scores 100 points, B scores (100 - 20 = ) 80 points and C scores (100 - 28 = ) 72 points.
A : B : C = 100 : 80 : 72
∴ B : C = 80/72 = 10/9 = 100/90.
Thus, if B scores 100, ‘C’ scores 90
∴ B can give C 10 points.
Hence, option (b)
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