Problem:
If a is 50% larger than c, and b is 25% larger than c, then a is what percent larger than b?
Answer Choices:
A. 20%
B. 25%
C. 50%
D. 100%
E. 200%
Solution:
If a is 50% larger than c, then a=1.5c. If b is 25% larger than c, then b=1.25c. So ba​=1.25c1.5c​=56​=1.20, and a=1.20b. Therefore, a is 20% larger than b.