Question 152

If the numerator of a fraction is increased by 400% and the denominator is increased by 500%, the resultant fraction is 10/21 . What was the original fraction ?

Solution

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

Acc to ques,

=> $$\frac{x + \frac{400}{100} * x}{y + \frac{500}{100} * y} = \frac{10}{21}$$

=> $$\frac{5x}{6y} = \frac{10}{21}$$

=> $$\frac{x}{y} = \frac{10}{21} \times \frac{6}{5}$$

=> $$\frac{x}{y} = \frac{4}{7}$$

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