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Question

Amar wrote exams in four subjects-Physics, Chemistry, Biology and Social Studies. The ratio of marks he got in these exams was 2:3:4:5. He got an aggregate of 70% in these exams. Each exam had the same maximum marks. In how many of these exams did he get more than 50%?

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is D 3
Let the maximum marks of each subject =y
Let the marks scored in Physics, Chemistry, Biology and social studies be 2x,3x,4x and 5x.
Now, total marks scored in all 4 subjects 2x+3x+4x+5x=14x
Total maximum marks of all 4 subjects =4y
Now according to question:
(14x4y×100)%=70%
14x4y×100=70
y=5x
% age of marks scored in Physics =(2x5x×100)%=40%
% age of marks scored in Chemistry =(3x5x×100)%=60%
% age of marks scored in Biology =(4x5x×100)%=80%
% age of marks scored in Social Studies =(5x5x×100)%=100%
So, he got more than 50% in Chemistry, Biology and Social Studies.
Hence, the answer is 3.

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