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 ?

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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 ?

Asked on 2018-06-23 23:54:09 by Guest | Votes 0 | Views: 52 | Tags: sbi | sbi clerk | sbi clerk 2008 | numbers | quantitative aptitude | Add Bounty

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 ?
1). $$\frac{5}{12}$$
2). $$\frac{8}{13}$$
3). $$\frac{17}{14}$$
4). $$\frac{4}{7}$$

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2 answers

1 vote

Answered by Guest on 2019-04-08 13:23:13 | Votes 1 | #

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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2 vote

Answered by Guest on 2019-04-29 19:52:47 | Votes 2 | #

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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