Jacki's Jewels sells $10,000$ necklace & earring sets per year. Fixed costs are $$80,000$ and variable costs are $$20$ per set. Jacki is planning to increase the quality of the stones, which will increase variable costs by $$8$ per set and increase sales by $25\%.$ If Jacki increases the quality of the stones, what price will she need to charge to attain her target profit of $$60,000$ per year?$\backslash$