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: $\frac{4}{9}$
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 $\frac{2}{9}$.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : If $\cos\theta=\frac{3}{5}$, then the value of $\sin\theta.\sec\theta.\tan\theta$ is:
Question : Directions: The price of an article has been reduced by 25%. To restore the original price, the new price must be increased by?
Question : If $16 y^2-k=\left(4 y+\frac{3}{2}\right)\left(4 y-\frac{3}{2}\right)$, then the value of $k$ is:
Question : The price of almonds is increased by 10%. By what percentage should the consumption be decreased so that the expenditure remains the same?
Question : The greatest fraction among $\frac{2}{3}, \frac{5}{6}, \frac{11}{15} \text{ and } \frac{7}{8} \text{ is:}$
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile