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

4%

Explanation:

20% more ➞ 100% +20%= 120%

20% less ➞ 100% -20%= 80%

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

Subst. (1) into (2):

`B = (80)/(100) ( (120)/(100)Y) \\ B = (4)/(5) ( (6)/(5) Y) \\ B = (24)/(25)Y \\ B = 0.96Y \\ B = 96\%Y`

Difference

= 96% -100%

= -4%

Thus, Bob had 4% less money than Yao.