Question

What single percentage change is equivalent to a 23% decrease followed py a 16% increase?

A. 89.32% decrease
B. 10.68% increase
C. 3.32% decrease
D. 10.68% decrease
E. 3.32% increase
F. 89.32% increase

Answer 1

The single percentage change equivalent to a 23% decrease followed by a 16% increase is a 10.68% decrease. Starting with a value of 100%, the two changes result in a final value of 89.32%, indicating a net decrease.

option d is the correct

Step-by-step explanation:

The single percentage change that is equivalent to a 23% decrease followed by a 16% increase can be calculated by first considering the overall effect on an initial amount. If we start with a value of 100 (representing 100%), a 23% decrease reduces this value to 77.

Applying a 16% increase to 77 gives us 77 + (0.16 × 77) = 77 + 12.32 = 89.32. Thus, the single equivalent percentage change from our original 100 is this new amount of 89.32, which reflects a decrease.

To find the exact amount of the single percentage change, we need to compare the new value with our original amount: (89.32 - 100)/100 = -0.1068, which translates to a 10.68% decrease.