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The given table shows the percentage of marks obtained by five students in five different subjects in a school.

 

English (100)

Science (150)

Mathematics (100)

Hindi (100)

Computer (100)

Hitansh

67

70

64

55

75

Akshara

75

88

95

60

75

Pihu

69

72

89

64

77

Shreya

71

66

80

68

72

Rahul

59

64

59

67

90


What is Hitansh's overall percentage (rounded up to 2 decimal places) in the examination? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 3)
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  1. 66.55%
  2. 64.89%
  3. 65.31%
  4. 75.11%

Answer (Detailed Solution Below)

Option 1 : 66.55%
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Detailed Solution

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Calculation:

Hitansh's marks in Science = 70% of 150 = 105

Total marks scored by Hitansh = 67 + 105 + 64 + 55 + 75 = 366

Total maximum marks in all subjects = 550

⇒ Percentage marks scored = (366/550) × 100 = 66.55%

∴ Hitansh's overall percentage in the examination is 66.55%

Mistake Points

In the table, the marks given are the percentage marks obtained by each student.

Except for Science, each subject carries maximum marks = 100

Thus, marks obtained and percentage marks are equal

e.g. Hitansh scored 67% marks in English

⇒ Marks scored by Hitansh in English = 100 × (67/100) = 67

For Science subject, the maximum marks are 150

Hitansh scored 70% marks in Science

⇒ Marks scored by Hitansh in Science = 150 × (70/100)

⇒ Marks scored by Hitansh in Science = 105

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