The total number of students studying Engineering and Science in 2021 is approximately what percentage more than the total number of students studying Management and Arts in 2019?

The required figure is given below:

Let the total number of students in 2019 be $$x$$.

Number of Commerce students = $$15\%\ of\ x=225$$ (given)

$$x=1500$$

Number of students in 2021 increased by 20% as compared to 2019.

Total number of students in 2021 = $$1500\times\left(1+20\%\right)=1800$$

In 2019,

Number of students in Computer Science = 21% of 1500 = 315

Number of students in Arts = 10% of 1500 = 150

Number of students in Science = 18% of 1500 = 270

Number of students in Engineering = 20% of 1500 = 300

Number of students in Management = 16% of 1500 = 240

Number of students in Commerce = 225 (given)

In 2021,

Number of students in Computer Science = 18% of 1800 = 324

Number of students in Arts = 12% of 1800 = 216

Number of students in Science = 15% of 1800 = 270

Number of students in Engineering = 25% of 1800 = 450

Number of students in Management = 20% of 1800 = 360

Number of students in Commerce = 10% of 1800 = 180

Total number of students studying Engineering and Science in 2021 = (450 + 270) = 720

Total number of students studying Management and Arts in 2019 = (240+150) = 390

Difference = 720 - 390 = 330

Percentage = $$\ \dfrac{330}{390}\times100=84.61\%$$

Hence, the number of students studying Engineering and Science in 2021 is 84.61% more than the number of students studying Management and Arts in 2019.

$$\therefore\ $$ The required answer is A.