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 ?

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 ?
1). 5/12
2). 8/13
3). 17/14
4). 4/7

2 answers

1 vote

Answered by Guest on 2019-04-29 15:05:37 | Votes 1 | #

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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Guest · Accepted Answer · 2019-04-08 12:05:05