Question

X when increased by 150% is equal to Y when increased by 25%.

X when decreased by 50% is equal to Y when decreased by what percentage?

Answer 1

Answer:

Y : X   = 2:1

Step-by-step explanation:

x is increased by 150% can be written as below

x +  ( 150/100 ) * x

x + (3/2) * x

(x/1) + (3x/2)

5x/2

y is increased by 25% can be written as below

y +  ( 25/100 )*Y

y + (1/4)*y

y + y/4

5y/4

Overall we can rewrite as :

5x/2  = 5y/4

5x = (5y/4)*2

5x = 5y/2

x=y/2

2x = y

This means if x = 100, then y = 200

or Y:X = 2:1

Answer 2

Answer:Y : X   = 2:1

Step-by-step explanation:

x is increased by 150% can be written as...

x + ( 150/100 ) * x :then...

x + (3/2) * x

(x/1) + (3x/2)

5x/2

y is increased by 25% can be written as..

y +  ( 25/100 )*Y

y + (1/4)*y

y + y/4

5y/4

Overall we can rewrite it

as :

5x/2  = 5y/4

5x = (5y/4)*2

5x = 5y/2

x=y/2

2x = y

This means if x = 100, then y = 200

or Y:X = 2:1