The number of female aspirants appeared in the exam is 5/4 times of the number of male aspirants. If 78% of female aspirants and 82.5% of male aspirants is not succeeded in the exam. Then, the percentage of aspirants who succeeded in the exam – 

The number of female aspirants appeared in the exam is 5/4 times of the number of male aspirants. If 78% of female aspirants and 82.5% of male aspirants is not succeeded in the exam. Then, the percentage of aspirants who succeeded in the exam –  Correct Answer 20%

Calculation:

Suppose the number of male aspirants who appeared in the exam is 4x and the number of female aspirants appeared in the exam is 5x.

Therefore, the total number of aspirants = (4x + 5x) = 9x

The number of female aspirants who succeeded in the exam = (100 – 78) % of 5x = 22% of 5x = 1.1x

The number of male aspirants who succeeded in the exam = (100 – 82.5) % of 4x = 17.50 % of 4x = 0.7x

∴ Total number of aspirants who succeeded in the exam = (1.1x + 0.7x) = 1.8x

So, the percentage of the aspirants who succeeded in the exam = × 100

⇒ (1.8x/9x) × 100

⇒ 20%

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.