Does anyone know how to find the rate with ONLY principal and time? (no interest)

Refer to this:
Investment A: Rate as 'R,' principal as $8000, time as '4 years,' and interest as 'SI'

Nope. There are 4 variables. Knowing only two make it impossible to pin down the other two.

I'll give the full part:

Investment A: Rate as 'R,' principal as $8000, time as '4 years,' and interest as 'SI'
Investment B: Rate as 'R,' principal as $7000, time as '5 years,' and interest as 'SI'

Investment A's Rate and Investment B's Rate is equal to 2:3, and investment B earned more interest than investment A.

To find the rate (R) with only the principal (P) and time (T), you can use the formula for Simple Interest (SI):

SI = (P * R * T) / 100

Since you have the principal (P = $8000) and time (T = 4 years) but not the interest (SI), you can rearrange the formula to solve for the rate (R):

R = (SI * 100) / (P * T)

However, in this case, you mentioned that the interest is 'SI'. So, if you don't have the actual interest value, it is not possible to find the exact rate. The rate requires the interest value to be known in order to calculate it using the formula.

If you have the interest value, you can substitute it into the formula to find the rate.