The following table shows the marks obtained by six students A-F in six different subjects S1 to S6 having 160, 160, 120, 120, 200 and 240 as maximum marks, respectively. Based on the data in the table, answer the questions that follow: Students-wise Details of Marks obtained Marks obtained in subject Student S1 (Out of 160) S2 (Out of 160) S3 (Out of 120) S4 (Out of 120) S5 (Out of 200) S6 (Out of 240) A 80 84 66 56 154 150 B 120 100 84 76 136 132 C 128 72 64 70 144 160 D 84 130 96 84 104 168 E 64 128 90 92 174 70 F 70 96 60 56 164 100
The marks scored by student B and student C together in subjects S1 is approximately _________% more than the marks scored by student A, student D and student E together in the same subject.
The question requires comparing the combined marks of specific students in subject S1.
First, calculate the total marks scored by students B and C together in subject S1:
$Marks_{B+C} = Marks_B + Marks_C = 120 + 128 = 248$
Next, calculate the total marks scored by students A, D, and E together in subject S1:
$Marks_{A+D+E} = Marks_A + Marks_D + Marks_E = 80 + 84 + 64 = 228$
To find how much more the marks of B and C combined are than A, D, and E combined, calculate the difference:
$Difference = Marks_{B+C} - Marks_{A+D+E} = 248 - 228 = 20$
Now, calculate the percentage increase relative to the marks of A, D, and E combined:
$Percentage Increase = \(\frac{\text{Difference}}{Marks_{A+D+E}} \times 100\)$
$Percentage Increase = \(\frac{20}{228} \times 100\)$
$Percentage Increase \(\approx 0.087719 \times 100\)$
$Percentage Increase \(\approx 8.77\%$
The marks scored by student B and student C together in subject S1 are approximately 8.77% more than the marks scored by student A, student D, and student E together in the same subject.
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