In a test of class ten, 75% of students passed in mathematics and 65% in science. What is the percentage of students who passed in both subjects?
Given:
Percentage of students passed in mathematics = 75%
Percentage of students passed in science = 65%
To find:
The number of students passed in both subjects
Solution:
75% of students passed in mathematics, which means out of 100, 75 students passed.
65% of students passed in science, which means out of 100, 65 students passed.
So, number of students passed in both subjects = 75 + 65
% of students passed in both subjects = $\frac{75 + 65} {200} = \frac{140 }{200}$
$\frac{140 }{200} = \frac{70}{100}$
So, 70 % of students passed in both subjects.
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