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?

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%

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20%

To calculate the percentage of the number of students now compared to two years ago, we need to determine the total change in the number of students over the two years.

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

Since the number of students increased by 100% last year, the number of students after one year would be 100% + 100% = 200% of X, which is 2X.

This year, the number of students increased by 150%, which means the number of students now is 150% + 100% = 250% of 2X, which is 5X.

Therefore, the number of students now (5X) is 500% of the number of students two years ago (X).

In terms of percentage, 500% is the answer to the question "What percent of the number of students now was the number of students two years ago?"