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An aptitude exam is held every year and a lot of applicants apply for it. But only few appear for the exam, and very few are able to clear the exam. In 2017, only 45% of the applicants appeared for the exam, out of which only 40% cleared the exam. In 2018, only 60% of the applicants appeared for the exam, out of which only 35% cleared the exam. If the number of applications increased by 20% from 2017 to 2018, what is the percentage increase in the number of applicants that cleared the exam?

An aptitude exam is held every year and a lot of applicants apply for it. But only few appear for the exam, and very few are able to clear the exam. In 2017, only 45% of the applicants appeared for the exam, out of which only 40% cleared the exam. In 2018, only 60% of the applicants appeared for the exam, out of which only 35% cleared the exam. If the number of applications increased by 20% from 2017 to 2018, what is the percentage increase in the number of applicants that cleared the exam? Correct Answer 40%

Let no. of applications in 2017 be ‘x’

⇒ No. of applicants that appeared in exam in 2017 = 45% of x = 0.45x

⇒ No. of applicants that cleared the exam in 2017 = 40% of 0.45x = 0.4 × 0.45x = 0.18x

Now, no. of applications increased by 20% from 2017 to 2018,

⇒ No. of applications in 2018 = x + 20% of x = 120% of x = 1.2x

⇒ No. of applicants that appeared in exam in 2018 = 60% of 1.2x = 0.6 × 1.2x = 0.72x

⇒ No. of applicants that cleared the exam in 2018 = 35% of 0.72x = 0.35 × 0.72x = 0.252x

⇒ Increase in no. of applicants that cleared the exam = 0.252x – 0.18x = 0.072x

∴ Percentage increase in no. of applicants that cleared the exam = 0.072x/0.18x × 100 = 40%

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