If the population of Town B is 50% greater than the population of Town A and the populations of Town C is 20% greater than the population of Town A, then what percent greater is the population of Town B tan the population of Town C?

Question

anonymous · Answer

Can you explain?

blacksteel · Answer

Let A = the population of town A, and B and C be defined similarly.
Then
B = 1.5A
C = 1.2A

To find the percentage size of B compared to C, divide the population of B by C.

B/C = 1.5A/1.2A = 1.5/1.2 = 1.25, so B is 125% of C, or 25% greater.

directrix · Answer

@sakigirl 

This looks as if it may be an SAT question.

If so, you can make up friendly numbers to get the answer.

Town A: 100 people
Town B:  150 people which is 50% greater population than Town A
Town C:  120 people which is 20% greater population than Town A
--------

Town B:  150 people
Town C:  120 people   

150/120 = 15/12 = 5/4 = 1.25 which is 25% larger as computed by @Blacksteel