Question 72

If the numerator of a fraction is increased by 400% and the denominator is increased by 500% the resultant fraction is $$\frac{10}{21}$$. What was the original fraction ?

Solution

Let the original fraction be $$\frac{X}{Y}$$

After 400% increase, the numerator becomes $$5X$$ and after 500% increase, the denominator becomes $$6Y$$

Hence, the resulting fraction becomes $$\frac{5X}{6Y}=\frac{10}{21}$$

So, $$\frac{X}{Y} = \frac{4}{7}$$

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