Purchases for May were $$100,000,$ while expected purchases for June and July are $$110,000$ and $$125,000,$ respectively. All purchases are paid $25\%$ in the month of purchase and $75\%$ the following month. June payments for purchases are budgeted at $\_\_\_\_\_\_\_\_.$

$$107,500$

$$110,000$

$$121,250$

$$102,500$