a/b=1-(1/x)
Divide both sides by 1
=> (a/b) / 1 = [1-(1/x)] / 1
Using cross multiplication, (More Info:
https://en.wikipedia.org/wiki/Cross-multiplication)
=> 1/(a/b) = 1/[1-(1/x)]
We need to solve each side individually.
Consider, LHS = 1/(a/b) = b/a .....(1)
Consider RHS. We need to solve The outermost bracket [] in the denominator of Right Hand Side of the equation.
[1-(1/x)] = (x-1)/x
Thus, RHS = 1/[1-(1/x)] = 1/ [(x-1)/x] = x / ( x - 1) ......(2)
Now, LHS = RHS
From Eqn (1) and (2) [Marked above]
=> b/a = x / ( x - 1)
IMO D
If the problem is Easy Respect it, if the problem is tough Attack it
