Sabnam appeared in six subjects, A, B, C, D, E and F in an examination scoring 65% of the total marks in all subjects. Each subject had equal maximum marks. Her marks in subject C was 20% less than her marks in subject
E. The ratio of the marks scored by her in subjects A and D was 3:4. Her marks in subject E were 25% more than her marks in subject D. She scored 40 marks more in subject F than in subject B and 40 marks more in subject
B than in subject A. The average mark scored by her in the examination per subject was 130.
to the
What was the average percentage of marks secured by Sabnam in
C and E?
O 0.675
0.65
O 0.625
0.635
Answers
Answer:
0.675
Explanation:
in c marks will be 120 and e 150
soo
((120+150)/200+200)=0.675
Given : Sabnam appeared in six subjects, A, B, C, D, E and F in an examination scoring 65% of the total marks in all subjects.
To Find : What was the average percentage of marks secured by Sabnam in C and E?
Solution:
scoring 65% of the total marks in all subjects
The average mark scored by her in the examination per subject was 130.
=> (65/100) * Max Marks Per subject = 130
=> Max Marks Per subject = 200
6 Subjects Hence Total Max marks = 1200
Sabnam got = 780 Marks ( 130 * 6 )
Marks in A = 3A and Marks in D = 4A
Marks in E = 4A + (25/100)4A = 5A
Marks in C =5A - (20/100)5A = 4A
40 marks more in subject B than in subject A
=> B Marks = 3A + 40
She scored 40 marks more in subject F than in subject B
=> F Marks = 3A + 80
3A + 3A + 40 + 4A + 4A + 5A + 3A + 80 = 780
=> 22A = 660
=> A = 30
Marks in C = 120
Marks in E = 150
270 out of 400 = 270/400 = 0.675
67.5 %
percentage of marks secured by Sabnam in C and E 67.5 %
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