Question 139

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 ?

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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