Question

A is x % more than B. B is y% less than C. If A, B and C are positive and A is greater than C, find the relation between x and y.

Explanatory Answer

a = (1 + x) b
b = c (1 - y)
c =

a is greater than c
Or, b (1 + x) >
1 + x >
(1 + x) (1 - y) > 1
1 + x - y - xy > 1
x > y (1 + x)
y <