Solution:
Let the diameter of the fore wheel of the tractor be
.The diameter of the rear wheel of the tractor be
.So the circumference of the fore wheel be
The circumference of the rear wheel be 
Now since the tractor is travelling a distance of 
, so the number of revolution made by fore wheel will be 
And the number of revolution made by rear wheel will be 
It is also said that fore wheel of a tractor makes 
revolutions more than the rear wheel in while going , hence we can write this as
This can be written as 
Now it is said that the diameter of the fore wheel is doubled and the diameter of the rear wheel is increased by 
times.So to cover
, the number of revolution made by new fore wheel will be 
And the number of revolution made by new rear wheel will be 
Now it is said when the diameter of the fore wheel is doubled and the diameter of the rear wheel is increased by 
times the fore wheel makes 
revolutions more than the rear wheel, hence we can write this as
Now multiply the denominator of the equation (1) by 2 and subtract equation (2) from it, we get
Now substitute the value of D in equation (1), we get
Now the circumference of the fore wheel is given as 
= 2And also the circumference of the rear wheel is given as
Therefore the circumference of the fore wheel and rear wheel is 
and 
respectively.Hence, Option (1) is the correct Ans:.
