Final answer:
June's profit is found by first calculating May's profit and then increasing it by 20%. May's profit is obtained by dividing the total profit of $16,577 by 2.2, resulting in $7,535. Therefore, June's profit amounts to $9,042.
Step-by-step explanation:
The student is asking how to calculate the profit for the month of June for the YIC Company, given that June's profit was 20% higher than May's and that the total profit for both months was $16,577.
Let's denote May's profit as M. Consequently, June's profit would then be M plus 20% of M (which is 1.2M). The total profit for both months is the sum of May's profit and June's profit, which can be expressed as M + 1.2M = $16,577.
Combining like terms, we have 2.2M = $16,577. To find M, we divide $16,577 by 2.2, which gives us M = $7,535.
To find June's profit, we multiply May's profit by 1.2: June's Profit = 1.2M = 1.2 * $7,535 = $9,042.
Hence, the profit for the month of June is $9,042.