Percentage Increase in Coffee Mixture Cost

A café sells a special blend of coffee that consists of two types of beans: Type A and Type B. The café uses a 60-pound mixture that contains 30% Type A beans and the rest Type B beans. Due to a price increase, the café decides to change the proportions of the mixture. After the change, the café now sells a 60-pound mixture that contains 45% Type A beans. If the price of Type A beans increased by 20% and the price of Type B beans remained the same, what is the percentage increase in the total cost of the new mixture compared to the old mixture?

Note: Assume that the prices for Type A and Type B beans per pound before the increase are $p_A$ and $p_B$, respectively.