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If the numerator of a fraction is increased by 300% and its denominator is increased In 200%. the resultant fraction becomes 4/15. What is the original fraction ?

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If the numerator of a fraction is increased by 300% and its denominator is increased In 200%. the resultant fraction becomes 4/15. What is the original fraction ?
1). $$\frac{3}{5}$$
2). $$\frac{4}{5}$$
3). $$\frac{2}{5}$$
4). $$\frac{1}{5}$$

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1 answers

16 vote
Answered by on | Votes 16 |
Solution

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

Now as the numerator is increased by 300% and denominator by 200%, numerator becomes 4x and denominator becomes 3y

$\frac{4x}{3y}$ = $\frac{4}{15}$

$\frac{x}{y}$ = $\frac{1}{5}$

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