Question

James has 20% more money than Yao, and Bob has 20% less money than James. What percent less money does Bob have than Yao?

Answer 1

Answer:

4%

Step-by-step explanation:

20% more ➞ 100% +20%= 120%

20% less ➞ 100% -20%= 80%

$J= 120\% Y ---(1)\\ B= 80\% J ---(2)$

Subst. (1) into (2):

$B = \frac{80}{100} ( \frac{120}{100}Y) \\ B = \frac{4}{5} ( \frac{6}{5} Y) \\ B = \frac{24}{25}Y \\ B = 0.96Y \\ B = 96\%Y$

Difference

= 96% -100%

= -4%

Thus, Bob had 4% less money than Yao.