i need help on quantitative reasoning

Question

A high school reports that its​ students' SAT scores were down by

​14%

in one year. The next​ year, however, the test scores rose by

​22%.

The high school principal​ announces, "Overall, test scores have improved by

8​%

over the past two​ years."

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Answer 1

pick a number, an easy integer number

say they started at 100

then down 14% to 86

then up 22% from 86 to (1.22)(86) = 104.92

that's only a 4.92% increase since 2 years ago when it started at 100.

Not an 8% increase

try any other number, say 50

down 14% means down to 43. 50-.14(50) = 50-7=43

up 22% means up to 52.46. 43 +.22(43)=43+9.46=52.46

that's a 4.92% increase, not 8%. 52.46-50= 2.46. 2.46/50=.0492=4.92%