Question

In a 2500 m race, charan beats ganesh by 300 m. in the same race, ganesh beats nag by 500 m. by what distance does charan beat nag?

Answer 1

according to question

Total distance for the race = 2500 m

Also
Distance between Charan and Ganesh = 300 m
and
Distance between Ganesh and Nag  = 500 m

Thus 
Distance between Charan and Nag = Distance between Charan and Ganesh + Distance between Ganesh and Nag
                                                       = 500 +  300
                                                       =  800 m

Thus clearly
Charan is at distance 800 m from Nag

Answer 2

Solution :-

Charan beats Ganesh by 300 m in a 2500 m race.

Charan covers distance of 2500 m where as Ganesh covers only 2200 m taking same time (2500 m - 300 m).

So,

Charan : Ganesh = 2500 : 2200

And, 

Ganesh beats Nag by 500 m in the same 2500 m race

Ganesh covers distance of 2500 m where as Nag covers only 2000 m taking same time (2500 m - 2000 m).

Ganesh : Nag = 2500 : 2000

Charan : Nag = (Charan/Ganesh × Ganesh/ Nag)

⇒ (2500/2200) × (2500/2000)

= 2500/440*4

= 2500/1760 = 2500 : 1760

So, Charan beats Nag by (2500 - 1760) m = 740 m

Answer.