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The given pie charts show the distribution of students studying different disciplines in an institute, in 2019 and 2021. The total number of students in 2021 is 20% more than that in 2019. Study the charts and answer the questions that follow.

The total number of students studying Computer Science and Commerce in 2019 is 50% more than the number of students in 2021 studying:
The required figure is given below:Β
Let the total number of students in 2019 be $$x$$.Β
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 =Β $$1500\times\left(1+20\%\right)=1800$$
In 2019,Β
Number of students inΒ Computer Science = 21% of 1500 = 315
Number of students in ArtsΒ = 10% of 1500 = 150
Number of students in Science = 18% of 1500 = 270
Number of students in EngineeringΒ = 20% of 1500 = 300
Number of students in Management = 16% of 1500 = 240
Number of students in Commerce = 225 (given)
In 2021,Β
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
Β
Total number of students studying Computer Science and Commerce in 2019 = 315 + 225 = 540
Let the number of students studying a particular subject in 2021 = $$x$$
Total number of students studying Computer Science and Commerce in 2019 is 50% more than the number of students studying a particular subject in 2021
Hence, $$x\times\left(1+50\%\right)=540$$
$$x=360$$
The required subject in 2021 is Management.Β
Hence, total number of students studying Computer Science and Commerce in 2019 is 50% more than the number of students studying Management in 2021.Β
$$\therefore\ $$ The required answer is D.Β
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