To find the percentage increase in the total surface area of the cone, we need to calculate the original surface area and the new surface area after the given changes in height and radius.

Let's assume the original height of the cone is h and the original radius is r.

Original Surface Area of the Cone:
The lateral surface area of a cone is given by the formula A = πrl, where r is the radius and l is the slant height of the cone.
The slant height of the cone can be calculated using the Pythagorean theorem: l = sqrt(r^2 + h^2)
Therefore, the original surface area of the cone (A1) is:
A1 = πr(sqrt(r^2 + h^2))

New Height and Radius:
The height of the cone is decreased by 20%, which means the new height (h2) is 80% of the original height: h2 = 0.8h
The radius of the cone is increased by 30%, which means the new radius (r2) is 130% of the original radius: r2 = 1.3r

New Surface Area of the Cone:
Using the same formula for surface area, the new surface area of the cone (A2) is:
A2 = πr2(sqrt(r2^2 + h2^2))
Substituting the values of r2 and h2:
A2 = π(1.3r)[sqrt((1.3r)^2 + (0.8h)^2)]

Percentage Increase in Surface Area:
The percentage increase in the surface area of the cone can be calculated using the formula:
Percentage Increase = [(New Surface Area - Original Surface Area) / Original Surface Area] * 100
Substituting the values of A1 and A2:
Percentage Increase = [(A2 - A1) / A1] * 100
Simplifying the equation, we get:
Percentage Increase = [(π(1.3r)[sqrt((1.3r)^2 + (0.8h)^2)]) - (πr(sqrt(r^2 + h^2)))] / (πr(sqrt(r^2 + h^2))) * 100

After simplifying and cancelling out common terms, we find that the expression for the percentage increase does not depend solely on the given values of h and r. Therefore, we cannot determine the percentage increase in the total surface area of the cone with the given information. Hence, the correct answer is option D) Cannot be determined.