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The following table shows the marks obtained by two students P and Q in different subjectsSubjectStudent PMaximum MarksStudent QMaximum MarksPhysics50
Question

The following table shows the marks obtained by two students P and Q in different subjects

Subject

Student P

Maximum Marks

Student Q

Maximum Marks

Physics

50

100

65

100

Chemistry

85

100

90

100

Biology

55

100

50

100

Hindi

40

50

45

50

What is the approximate difference in the aggregate percentages of P and Q?

A.

7%

B.

10%

C.

6%

D.

9%

Correct option is C

Given:

The marks obtained by students P and Q in different subjects:

Subject

Student P

Maximum Marks

Student Q

Maximum Marks

Physics

50

100

65

100

Chemistry

85

100

90

100

Biology

55

100

50

100

Hindi

40

50

45

50

Formula Used:

Percentage =(Total Marks ObtainedTotal Maximum Marks)×100 \left( \frac{\text{Total Marks Obtained}}{\text{Total Maximum Marks}} \right) \times 100

Solution:

Total marks obtained by P = 50 + 85 + 55 + 40 = 230

Total marks obtained by Q = 65 + 90 + 50 + 45 = 250

Total maximum marks = 100 + 100 + 100 + 50 = 350

For Student P:

Percentage of P =(230350)×10065.71% \left( \frac{230}{350} \right) \times 100 \approx 65.71\%

For Student Q:

Percentage of Q =(250350)×10071.43% \left( \frac{250}{350} \right) \times 100 \approx 71.43\%

The approximate difference in the aggregate percentages of P and Q is:

71.43% − 65.71% = 5.72% 6% \approx 6\%​​

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