Change in Saving when Two Third of Additional Income is Spent on Consumption

Introduction
The question states that two-thirds of additional income is always spent on consumption, and the current income is 50%. We are asked to find the change in saving when the initial income is $50,000.

Calculation
To calculate the change in saving, we need to consider the initial income and the additional income earned. Let's break down the calculation step by step:

Step 1: Calculate the Additional Income
The current income is 50%, which means the remaining percentage is saved. So, the saving percentage is 100% - 50% = 50%.

Let's calculate the current saving amount:
Current Saving = Saving Percentage * Initial Income
Current Saving = 50% * $50,000 = $25,000

Now, let's calculate the additional income earned:
Additional Income = Initial Income - Current Saving
Additional Income = $50,000 - $25,000 = $25,000

Step 2: Calculate the Amount Spent on Consumption
We are given that two-thirds of additional income is spent on consumption. So, the amount spent on consumption can be calculated as follows:

Amount Spent on Consumption = (2/3) * Additional Income
Amount Spent on Consumption = (2/3) * $25,000 = $16,667

Step 3: Calculate the Change in Saving
To calculate the change in saving, we need to subtract the amount spent on consumption from the additional income:

Change in Saving = Additional Income - Amount Spent on Consumption
Change in Saving = $25,000 - $16,667 = $8,333

Conclusion
Therefore, the change in saving when two-thirds of additional income is always spent on consumption, given the current income is 50% and the initial income is $50,000, is $8,333.