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The following table shows the marks obtained by two students A and B in different subjects. SubjectAMaximum marksBMaximum marksMathematics42503550Phys
Question

The following table shows the marks obtained by two students A and B in different subjects.

Subject

A

Maximum marks

B

Maximum marks

Mathematics

42

50

35

50

Physics

45

50

33

50

Chemistry

40

50

40

50

Biology

33

50

42

50

What is the difference between the aggregate percentage marks of A and B?

A.

1%

B.

4%

C.

2%

D.

5%

Correct option is D

Formula Used:

Percentage=PartWhole×100\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100

Solution:

Aggregate Percentage for Student A:

Total marks obtained by A = 42 + 45 + 40 + 33 = 160

Total maximum marks for A = 50 + 50 + 50 + 50 = 200

Aggregate percentage of A = 160200×100\frac{160}{200} \times100 = 80%

2. Percentage for Student B:

Total marks obtained by B = 35 + 33 + 40 + 42 = 150

Total maximum marks for B = 50 + 50 + 50 + 50 = 200

Aggregate percentage of B = 150200×100\frac{150}{200} \times100​ = 75%

the difference in aggregate percentages:

Difference = Aggregate percentage of A - Aggregate percentage of B

Difference = 80% - 75% = 5%

Therefore, the difference between the aggregate percentage marks of A and B is 5%.

Thus, correct answer is option (D).

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