In a class 60% of the students are boys and rest are girls. If 35% of the number of boys and 60% of the number of girls get scholarship and the number of girls who do not get scholarship is 32, then the number of boys who do not get scholarship is:

In a class 60% of the students are boys and rest are girls. If 35% of the number of boys and 60% of the number of girls get scholarship and the number of girls who do not get scholarship is 32, then the number of boys who do not get scholarship is: Correct Answer 78

Let the number of students in the class be x

Number of Boys in class = 0.6x

Number of Boys that get scholarship = 0.35 × 0.6x = 0.21x

Number of Girls in class = 0.4x

Number of Girls that get scholarship = 0.4x × 0.6 = 0.24x

According to Question

0.4x = 0.24x + 32

0.16x = 32

x = 200

Number of Boys that did not get scholarship = 0.6x - 0.21x = 0.39x

Number of Boys that did not get scholarship = 78

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the average weight of new students added? I. In a class 60% students are male and there average weight is 15 kg more than the female students, 9 males and 6 new female students joined the class and the average weight of the class increased by 0.84 II. Total male students in the class is 12 more than female students adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6.