A tank has a capacity of 2000 litres. Tap K can fill the tank in 5 minutes and Tap P can fill the tank in 10 minutes. How much water does Tap K and Tap P fill in one minute respectively?

Tap K fills 2000 litres in 5 minutes.

$$\text{Rate of K} = \frac{\text{Total capacity}}{\text{Time taken by K}} = \frac{2000 \text{ litres}}{5 \text{ minutes}}$$ $$\text{Rate of K} = 400 \text{ litres/minute}$$

Tap K puts 400 litres into the tank in one minute.

$$\boxed{400 \text{ litres}}$$

Capacity filled by tap P in the tank in one minute:

Tap P fills 2000 litres in 10 minutes.

$$\text{Rate of P} = \frac{\text{Total capacity}}{\text{Time taken by P}} = \frac{2000 \text{ litres}}{10 \text{ minutes}}$$ $$\text{Rate of P} = 200 \text{ litres/minute}$$

Tap P fills 200 litres into the tank in one minute.

$$\boxed{200 \text{ litres}}$$