Now let's see what happens when there's an error in inventory. This is usually when we're talking about an error in the ending inventory when we do the physical count and make an error at that time. Let's check it out. So, inventory errors, what we're going to see is that they correct themselves after 2 years. If you make an error in the first year and then do everything right in the second year, well, it's going to self-correct after 2 years. But if it's the first year, well that first year is going to have an overstatement or an understatement, okay? When we think of it by itself, alright? And this overstatement or understatement we're talking about in cost of goods sold, which is going to affect our gross profit and our net income, right?
So, what I have here is a little summary of what happens if we have an ending inventory. Notice this is the error right here. Ending inventory being overstated means that when we counted stuff in the warehouse, we made a mistake and we counted too much for whatever reason, and the other error would be that ending inventory is understated, right? That we missed something when we were counting. Okay? So, I think the best way to understand this, although this is a nice little summary, I think the best way to understand an inventory error and how they self-correct is with an example.
The best way to think about this is to think about what it would look like if we hadn't made the error, right? What would have been the totally correct thing to do and then let's see what happens when we do have an error. Okay? So, we're going to have two T accounts. We're going to do one T account for the correct inventory, and this is inventory. I'll put inventory, and then we'll do another T account over here for the incorrect inventory. Okay? So we're going to do both and we'll see how they're going to be different because of the error. So let's go ahead and start.
On January 1st year 1, a company had a balance in inventory of 50 and that and that's in both situations, there was no error made yet, right? There's going to be a 50,000 beginning balance and I'm going to put in year 1, okay? Beginning balance of year 1 is 50,000. During the year, purchases of 75,000 were made. So I'm going to put purchases year 1, 75,000, right? That's going to increase our inventory when we purchase and there's still no error, so these are going to be okay. Alright? So they're going to follow hand in hand, but here it comes. On December 31st year 1, an error in the inventory count caused a final balance in inventory of 35,000 when the correct amount would have been 30,000, right? So in the correct amount, what we're saying is that this ending balance of year 1, the correct amount would have been 30,000, right? But for whatever reason, they made a mistake and they counted 35,000 worth of goods, okay? So in that case, the ending balance was 35,000. So we're going to see how this affects our error. The error is going to come in the cost of goods sold calculation, right? We counted our ending balance, we have our beginning, our purchases, we have to back into cost of goods sold, right? Cost of goods sold would be what's coming out of inventory, right? We would have had some number coming out of inventory to be our cost of goods sold that gets us to that ending inventory balance, right? And that's the same thing that would be happening here. This would be the cost of goods sold over here. Okay? So this is just doing a little algebra and finding out what that number would be. So, let's figure it out.
We had 50,000, let's do it in the correct inventory first, 50,000 plus 75,000 is a 125,000. What number would get us down to 30,000? Well, we just subtract 30,000 it's 95,000, right? So in the correct inventory, we should have taken 95,000 in cost of goods sold, right? Because we counted if we had counted correctly, we would have counted 30,000 in goods and backed into a correct amount of COGS of 95,000. So that would have been the correct amount right here, 95,000 in COGS in year 1, but what did happen? What was the incorrect number that came about? So we had 50 + 75, but instead we had 35,000 in ending inventory, right? So what number would get us to 35,000 in ending inventory? Well, we subtract 35 and we see that cost of goods sold would have been 90,000 in this case, okay? So basically, we take our beginning balance plus our purchases and then minus the cost of goods sold gets us to 35,000, right? So we can back into that and get 90,000 as the incorrect amount of cost of goods sold, right? So notice, there was an overstatement in ending inventory and look what we have above. If there's an overstatement in ending inventory, then cost of goods sold is understated and that's exactly what we see in our problem, right? The correct amount would have been 95,000, but we only have 90,000 so there is an understatement there. Okay?
partment to better handle such complications.