In a class, 60% of the students passed in Physics. Among those who passed in Physics, one third passed in Maths. 150 students failed in both the subjects. One third of the students who passed in Maths failed in Physics.QUESTION 10bookmark_borderSelect the correct answerHow many students are there in the class?radio_button_unchecked350radio_button_unchecked660radio_button_unchecked550radio_button_unchecked500
Question
In a class, 60% of the students passed in Physics. Among those who passed in Physics, one third passed in Maths. 150 students failed in both the subjects. One third of the students who passed in Maths failed in Physics.QUESTION 10bookmark_borderSelect the correct answerHow many students are there in the class?radio_button_unchecked350radio_button_unchecked660radio_button_unchecked550radio_button_unchecked500
Solution
Let's denote the total number of students as X.
According to the problem, 60% of the students passed in Physics. This means that 40% of the students failed in Physics.
We also know that 150 students failed in both Physics and Maths. These students are included in the 40% of students who failed in Physics.
We also know that one third of the students who passed in Maths failed in Physics. This means that two thirds of the students who passed in Maths also passed in Physics.
Let's denote the number of students who passed in Maths as M. According to the problem, one third of the students who passed in Physics also passed in Maths. This means that M = (1/3) * (60/100) * X.
We also know that one third of the students who passed in Maths failed in Physics. This means that (1/3) * M = (40/100) * X - 150.
Substituting M in the above equation, we get (1/3) * (1/3) * (60/100) * X = (40/100) * X - 150.
Solving this equation for X, we get X = 500.
Therefore, there are 500 students in the class.
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