Question

The number of students enrolled in PGMS in 2017 was 500. In 2018, the number decreased by 4%. In 2019, the number increased by 5%. How many students were in PGMS after the decrease and increase?

A. 486 students
B. 505 students
C. 520 students
D. 525 students

Answer 1

B. 505 students. After a 4% decrease in 2018 and a 5% increase in 2019, the number of students enrolled in PGMS would be 504, which is not listed in the provided options.

Step-by-step explanation:

The number of students enrolled at PGMS in 2017 was 500. To find the number after a decrease of 4% in 2018, we calculate 4% of 500 and subtract that number from 500. Then, to get the number after a subsequent increase of 5% in 2019, we add 5% of the decreased amount to it.

Here's the step-by-step calculation:

1. Calculate the 4% decrease: 4% of 500 = 0.04 × 500 = 20.
2. Subtract the decrease from the original number: 500 - 20 = 480.
3. Calculate the 5% increase on the new amount: 5% of 480 = 0.05 × 480 = 24.
4. Add the increase to the decreased amount: 480 + 24 = 504.

Therefore, after the decrease and subsequent increase, there were 504 students enrolled in PGMS, which is not one of the options provided (A. 486 students, B. 505 students, C. 520 students, D. 525 students). Given the calculations, there seems to be a slight discrepancy in the options.