Provide the solution ---Question Stem:
13. 李先生去年的月薪是 36000 元，他今年獲加薪 10%。如果本月他把月薪的 $\frac{2}{5}$ 作房屋租金，他本月的房屋租金是多少元？
Other Relevant Text:
Number: 13.
Fraction: $\frac{2}{5}$
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Let's solve this salary and rent calculation problem step by step. Mr. Li earned 36,000 yuan per month last year. This year, he received a 10 percent salary increase. We need to find out how much he pays for housing rent this month, which is two-fifths of his new monthly salary.
Now let's solve this step by step. First, we need to calculate the salary increase amount. The increase is 10 percent of the original salary. So we multiply 36,000 yuan by 10 percent, which equals 36,000 times 0.1, giving us 3,600 yuan as the salary increase.
Next, we calculate the new monthly salary. We add the salary increase to the original salary. So we have 36,000 yuan plus 3,600 yuan, which equals 39,600 yuan. This is Mr. Li's new monthly salary for this year.
Finally, we calculate the housing rent. Mr. Li spends two-fifths of his new salary on rent. So we multiply 39,600 yuan by two-fifths. This equals 39,600 times 2, divided by 5, which gives us 79,200 divided by 5, equals 15,840 yuan. Therefore, his housing rent this month is 15,840 yuan.
To summarize our solution: Mr. Li's original salary was 36,000 yuan. With a 10 percent increase, he gained 3,600 yuan, bringing his new monthly salary to 39,600 yuan. His housing rent, which is two-fifths of his new salary, amounts to 15,840 yuan per month.