Practice | Hashtable

Home > Practice > Arithmetic Aptitude > Problem on Numbers > Miscellaneous

1. The difference between the numerator and the denominator of a fraction is 5. If 5 is added to its denominator, the fraction is decreased by $1 \frac{1}{4}$ . Find the value of the fraction.

A. $\frac{1}{6}$

B. $2 \frac{1}{4}$

C. $3 \frac{1}{4}$

D. $6$

Solution:

Let the denominator be x
Then, numerator = x + 5
Now,

\begin{aligned} \Leftrightarrow \frac{x + 5}{x} - \frac{x + 5}{x + 5} = \frac{5}{4} \\ \Leftrightarrow \frac{x + 5}{x} = \frac{5}{4} + 1 \\ \Leftrightarrow \frac{x + 5}{x} = \frac{9}{4} \\ \Leftrightarrow \frac{x + 5}{x} = 2 \frac{1}{4} \end{aligned}

So, the fraction is

2 \frac{1}{4}

You must login to add comments. Login now.