What percent of a group of numbers are integers greater than 70?

Hi Bunuel,

Thanks for the question. was challenging, let me know what you think of my approach.
Here is my method: I used strategic numbers with two cases for each statement.

What percent of a group of numbers are integers greater than 70?

S1: Of the integers in the group, 5 percent are greater than 70.

Scenario 1: Let the total integers in the group be 20
5% of 20 = 1 which means 1 out of 20 INT in the group is greater than 70

Scenario 2: Let the total integers in the group be 40.
5% of 40 is 2 which means 2 out of 40 INT in the group are greater than 70.

Let's keep this for a second. Since we don't know the total number set in the group we can't find the exact percentage.
So Statement 1 is INSUFFICIENT

S2: Of the non-integers in the group, 10 percent are greater than 70.

Scenario 1: Let the total no. of non-integers in the group be 20
10% of 20 is 2 which means 2 out of 20 non-INT in the group are greater than 70.

Scenario 2: Let the total no. of non-integers in the group be 60
10% of 60 is 6 which means 6 out of 60 integers are greater than 70.

But since we don't know the total number set in the group we can't find the exact percentage.
So Statement 2 is INSUFFICIENT

S1+S2: Now lets combine both the statements for 2 scenarios.

Scenario 1:
Total number of numbers greater than 70 = 1 + 2 = 3
Total number set = 40 (20+20)
% of numbers greater than 70 = (3/40)*100 = 7.5%

Scenario 2:
Total number of numbers greater than 70 = 2 + 6 = 8
Total number set = 100 (40+60)
% of numbers greater than 70 = (8/100)*100 = 8%

Since there is more than one possible value, Statement 1 and Statement 2 BOTH together are INSUFFICIENT

The answer is E