In a school a total of 110 students are studying together in two divisions A and B of class X The st...........

Quantitative Aptitude ( CCS) Percentage

In a school, a total of 110 students are studying together in two divisions A and B of class X. The students are studying only Hindi, only Sanskrit or both Hindi and Sanskrit. The total number of students in A and B divisions are in the ratio of 5:6; the number of students studying only Hindi is 40% of the total number of students in the two divisions. The number of students studying both subjects in A division is 30% of the students in that division and is equal to the number of students studying only Hindi in the same division.36 students study both Hindi and Sanskrit. What is the total number of students studying only Sanskrit in class X:

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Explanation:

Students in Division A = 50
Students in Division B = 60
Only Hindi (A + B) = 44
Hindi + Sanskrit = 30/100×50=15
Only Hindi in A = 15
Only Hindi in B = 44 – 15 = 29
36 – 15 = 21 (both H + S)
Students studying only Sanskrit is 20+ 10 = 30