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If the Numerator of the fraction is increased by the 600% and Denominator is increased by 200 % The resulting fraction is $$2\frac{4}{5}$$ . Then what is the original Fraction ?

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If the Numerator of the fraction is increased by the 600% and Denominator is increased by 200 % The resulting fraction is $$2\frac{4}{5}$$ . Then what is the original Fraction ?
1). $$\frac{4}{7}$$
2). $$\frac{13}{12}$$
3). $$\frac{11}{12}$$
4). $$\frac{6}{5}$$

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3 vote
Answered by on | Votes 3 |
Solution

Let the numerator = $x$ and denominator = $y$

If numerator is increased by 600%, => New numerator = $7x$

Similarly, new denominator = $3y$

=> Fraction = $\frac{7x}{3y} = 2\frac{4}{5}$

=> $\frac{7x}{3y}=\frac{14}{5}$

=> $\frac{x}{y} = \frac{14}{5} \times \frac{3}{7}$

=> $\frac{x}{y}=\frac{6}{5}$

=> Ans - (D)

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