When 50% of a certain value exceeds 35% of the same value by 1.2, what is the value?

The correct option is 8.

Step-by-Step Solution:

Let the unknown value be $x$.

According to the problem statement, 50% of this value exceeds 35% of the same value by 1.2.

First, express the percentages of the value as mathematical expressions:

50% of the value is equal to:

$0.50x$

35% of the value is equal to:

$0.35x$

The difference between 50% of the value and 35% of the value is given as 1.2. We can set up the linear equation:

$0.50x-0.35x=1.2$

Subtract the like terms on the left side of the equation:

$0.15x=1.2$

To solve for $x$, divide 1.2 by 0.15:

$x=\frac{1.2}{0.15}$

Multiply both the numerator and the denominator by 100 to eliminate the decimal points:

$x=\frac{120}{15}$

Simplify the fraction:

$x=8$

Therefore, the required value is 8.