5 Views

Question : If the numerator of a fraction is increased by 60% and the denominator is increased by 40%, then the resultant fraction is $\frac{16}{63}$. The original fraction is:

Option 1: $\frac{5}{9}$

Option 2: $\frac{2}{9}$

Option 3: $\frac{2}{11}$

Option 4: $\frac{4}{9}$


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 12th Jan, 2024

Correct Answer: $\frac{2}{9}$


Solution : If the numerator of a fraction is increased by 60% and the denominator is increased by 40%, then the resultant fraction is $\frac{16}{63}$. The original fraction is:
The numerator increased by 60%
The denominator increased by 40%
Resultant fraction = $\frac{16}{63}$
Calculation:
Let the original fraction be $\frac{x}{y}$
According to the question
60% of numerator = $0.6x$
40% of denominator = $0.4y$
⇒ New fraction = $\frac{x + 0.6x}{y + 0.4y} $ = $\frac{1.6x}{1.4y} $
⇒ $\frac{16}{63} = \frac{16x}{14y}$
⇒ $\frac{14}{63} = \frac{x}{y}$
⇒ $\frac{2}{9} = \frac{x}{y}$
$\therefore$ The original fraction is $\frac{2}{9}$
Hence, the correct answer is $\frac{2}{9}$.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books