In a race of 1000m, A can beat B by 100m. In a 400m, B beats C by 40m. In a race of 500m. A will beat C by

Answer: Option A

When A runs 1000m, B runs 900m.
Hence, when A runs 500m, B runs 450m.
Again, when B runs 400m, C runs 360m.
And, when B runs 450m, C runs = 360 × $$\frac{450}{400}$$ = 405m.
Required distance = 500 - 405 = 95 meter.
That means when A runs 500 meter then B can run 450m then C runs 405m.