Canceling a card could upset your credit-utilization ratio, the second most heavily
weighted category in Fair Isaac’s credit scoring algorithms. For example, assume you have three cards with total available credit of $20,000. Assume further that your outstanding balances total no more than $6,000 of that available credit at any one time. Since creditors like to see a credit-utilization ratio of 30 percent to 35 percent or less, you’re in good shape.
Now, assume that you cancel a card with a zero balance and a $10,000 credit limit. Suddenly, your utilization ratio jumps to 60 percent, and your credit score drops.
As counterintuitive as that seems, that could happen. Impersonal credit-scoring systems aren’t concerned so much with how much available credit you have but with how you manage that credit. And in the credit-scoring world, a 30 percent utilization rate is much better than a 60 percent one. “That’s what scoring models want to see, a good utilization rate,” Hendricks says.
Canceling that card could result in a double whammy to your credit score, “because each card is scored individually, and then all your cards are scored together. (If) you’ve just canceled the card with a zero balance, (you’ve) lost a great individual score.” Regardless, if you still want to cancel a card, he says, “make sure to pay down your other balances to keep that rate in line.”

