In a Km race A beats B by 100 m and C by 200 m. By how many can B beat C in a race of 1350 m?

While Arun's 1000 m, B runs 1000 - 100 = 900 m and C runs 1000 - 200 = 800 m.
∴ While B runs 900 m, C runs 800 m.
∴ While B runs 1350 m; C runs 800 / 900 × 1350 = 1200 m
∴ B can beat C by 1350 - 1200 = 150 m.