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Study the following table and answer the question: Percentage of marks obtained by six students A, B, C, D, E and F in five subjects. Subjects →  Students ↓  English (Out of 50) Math (Out of 150) Science (Out of 80) Hindi (Out of 75) Social Studies (Out of 100) A 70 90 65 64 88 B 84 92 75 68 49 C 66 80 85 80 84 D 62 74 75 88 60 E 54 64 55 72 85 F 72 84 65 60 65   The total marks obtained by student F in English, Science and Hindi is approximately what percent of the total marks obtained by student A in English, Mathematics, Science and Hindi? (Correct to one decimal place)

Study the following table and answer the question: Percentage of marks obtained by six students A, B, C, D, E and F in five subjects. Subjects →  Students ↓  English (Out of 50) Math (Out of 150) Science (Out of 80) Hindi (Out of 75) Social Studies (Out of 100) A 70 90 65 64 88 B 84 92 75 68 49 C 66 80 85 80 84 D 62 74 75 88 60 E 54 64 55 72 85 F 72 84 65 60 65   The total marks obtained by student F in English, Science and Hindi is approximately what percent of the total marks obtained by student A in English, Mathematics, Science and Hindi? (Correct to one decimal place) Correct Answer 49.3

Calculation:

Number of mark obtained by student F in English = (72 × 50/100) = 36

Number of mark obtained by student F in Science = (65 × 80/100) = 52

Number of mark obtained by student F in Hindi = (60 × 75/100) = 45

The total marks obtained by student F in English, Science and Hindi = (36 + 52 + 45)

⇒ 133

Number of mark obtained by student A in English = (70 × 50/100) = 35

Number of mark obtained by student A in Mathematics = (90 × 150/100) = 135

Number of mark obtained by student A in Science = (65 × 80/100) = 52

Number of mark obtained by student A in Hindi = (64 × 75/100) = 48

The total marks obtained by student A in English, Mathematics, Science and Hindi = (35 + 135 + 52 + 48)

⇒ 270

The total marks obtained by student F in English, Science and Hindi is approximately what percent of the total marks obtained by student A in English, Mathematics, Science and Hindi = (133/270 × 100)

⇒ 49.259% ~ 49.3%

∴ The required percentage is 49.3

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