Question

During last year the number of students in RSM increased by 100%. This year, the number of students increased by 150%. What percent of the number of students now was the number of students two years ago?

Answer 1

To find the percent of the number of students now compared to two years ago, we need to calculate the total increase in the number of students over the two years. Assuming the number of students two years ago was 100, the current number of students is 500, and the percent of the number of students now compared to two years ago is 500%.

Step-by-step explanation:

To find the percent of the number of students now compared to two years ago, we need to calculate the total increase in the number of students over the two years.

Let's assume the number of students two years ago was 100.

First, the number of students increased by 100% last year, so the number of students after the first year became 100 + (100/100 * 100) = 200.

Then, the number of students increased by 150% this year, so the final number of students became 200 + (150/100 * 200) = 500.

Therefore, the current number of students is 500, and the number of students two years ago was 100, so the percent of the number of students now compared to two years ago is (500/100) * 100 = 500%.

Answer 2

increasing by N% means the new value is 1+N/100 as much as the old value. So, we have

new = old*(1+1)(1+1.5) = 5.00 * old
so, old = new/5 or 20%