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Ratio and Mixture Problems - Class XII
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The difference between the numerator and the denominator of a fraction is $5$ If $5$ is added to the denominator the fraction is decreased by $\displaystyle 1\frac{1}{4}$ then the value of the fraction will be equal to:
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A
$\displaystyle 2\frac{1}{4}$
💡 Explanation:
Let the numerator be $x+5$ and denominator be $x$
Given condition is :$\dfrac {x+5}{x}-\dfrac {x+5}{x+5}=\dfrac {5}{4}$
$\Rightarrow \dfrac {x+5}{x}=\dfrac {9}{4}=2\dfrac {1}{4}=$fraction value
$\therefore $fraction value$ =2\dfrac {1}{4}$