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Study the following table and answer the question: Percentage of marks obtained by six students in five subjects A, B, C, D & E. Students Subject A (out of 75) B (out of 80) C (out of 100) D (out of 50) E (out of 150) Manju 68 85 86 72 92 Amit 64 65 80 96 80 Rekha 88 75 65 74 90 Anuj 80 55 68 66 84 Abhi 72 65 72 54 74 Vikram 60 70 73 84 86 Total marks obtained by Amit, Abhi, and Anuj in subject E is what percent more than the total marks obtained by all the six students in subject B? (correct to one decimal place)

Study the following table and answer the question: Percentage of marks obtained by six students in five subjects A, B, C, D & E. Students Subject A (out of 75) B (out of 80) C (out of 100) D (out of 50) E (out of 150) Manju 68 85 86 72 92 Amit 64 65 80 96 80 Rekha 88 75 65 74 90 Anuj 80 55 68 66 84 Abhi 72 65 72 54 74 Vikram 60 70 73 84 86 Total marks obtained by Amit, Abhi, and Anuj in subject E is what percent more than the total marks obtained by all the six students in subject B? (correct to one decimal place) Correct Answer 7.5

Calculation:

Marks of Amit in subject E = (80 × 150/100) = 120

Marks of Abhi in subject E = (74 × 150/100) = 111

Marks of Anuj in subject E = (84 × 150/100) = 126

Total marks of Amit, Abhi an Anuj = (120 + 111 + 126)

⇒ 357

Marks of Manju in subject B = (85 × 80/100) = 68

Marks of Amit in subject B = (65 × 80/100) = 52

Marks of Rekha in subject B = (75 × 80/100) = 60

Marks of Anuj in subject B = (55 × 80/100) = 44

Marks of Abhi in subject B = (65 × 80/100) = 52

Marks of Vikram in subject B = (70 × 80/100) = 56

Total marks of all the six students in subject B = (68 + 52 + 60 + 44 + 52 + 56)

⇒ 332

Required percentage =

⇒ (25/332 × 100)

⇒ (2500/332)

⇒ 7.5

∴ Required percentage is 7.5

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