If the numerator of a fraction is increased by 350% and the denominator of the fraction is increased by 300%, the resultant fraction is 9/22 .What is the original fraction ?
1). 3/4
2). 5/12
3). 7/9
4). 4/11
Let the original fraction = $\frac{x}{y}
Numerator after 350% increase = $x + \frac{350}{100} \times x = 4.5x$
Denominator after 300 % increase = $y + \frac{300}{100} \times y = 4y$
Acc to ques,
=> $\frac{4.5x}{4y} = \frac{9}{22}$
=> $\frac{x}{y} = \frac{9}{22} \times \frac{4}{4.5}$
=> $\frac{x}{y} = \frac{4}{11}$