RRB Technician 2013 Ques 116
Question: If the numerator of a fraction is increased by 200% and the denominator is increased by 160%, the resultant fraction is $ \frac{7}{13} $ . What is the original fraction?
Options:
A) $ \frac{7}{15} $
B) $ \frac{2}{15} $
C) $ \frac{8}{15} $
D) $ \frac{5}{7} $
Show Answer
Answer:
Correct Answer: A
Solution:
- Let the original fraction $ =\frac{x}{y} $ According to the questions, $ \frac{x+x\times 200%}{y+y\times 160%}=\frac{7}{13} $
$ \Rightarrow $ $ \frac{x+\frac{200x}{100}}{\frac{160y}{100}}=\frac{7}{13}\Rightarrow \frac{3x}{2.6y}=\frac{7}{13} $
$ \Rightarrow $ $ \frac{x}{y}=\frac{7}{13}\times \frac{26}{30}=\frac{7}{15} $ Hence, the original fraction is $ \frac{7}{15} $ .
BETA
