Question 67

If the numerator of a fraction is increased by 125% and the denominator of the fraction is increased by 120%, the resultant fraction is 9/11 . What is the original fraction?

Solution

Let the original fraction = $$\frac{x}{y}$$

$$\therefore \frac{x \times 225}{y \times 220} = \frac{9}{11}$$

=> $$\frac{x \times 45}{y \times 44} = \frac{9}{11}$$

=> $$\frac{x}{y} = \frac{9}{11} \times \frac{44}{45}$$

=> $$\frac{x}{y} = \frac{4}{5}$$

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