If the numerator of certain fraction increased by 100% and the denominator is increased by 200% the new fraction thus formed is $$\frac{4}{21}$$ What is the original fraction ?

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If the numerator of certain fraction increased by 100% and the denominator is increased by 200% the new fraction thus formed is $$\frac{4}{21}$$ What is the original fraction ?

Asked on 2018-06-26 23:33:15 by Guest | Votes 0 | Views: 95 | Tags: sbi | sbi clerk | sbi associate clerk 2011 | numbers | quantitative aptitude | Add Bounty

If the numerator of certain fraction increased by 100% and the denominator is increased by 200% the new fraction thus formed is $$\frac{4}{21}$$ What is the original fraction ?
1). $$\frac{2}{7}$$
2). $$\frac{3}{7}$$
3). $$\frac{2}{5}$$
4). $$\frac{4}{7}$$

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2 answers

0 vote

Answered by Guest on 2019-04-07 11:44:07 | Votes 0 | #

Solution

If the numerator (assume to be x) is increased by 100%, it becomes 2x

and the denominator(assume to be y) is increased by 200%, it becomes 3y.

The new fraction is $\frac{4}{27}$ = $\frac{2x}{3y}$

Hence, simplifying we get fraction has $\frac{2}{7}$

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3 vote

Answered by Guest on 2019-04-24 09:04:58 | Votes 3 | #

Solution

If the numerator (assume to be x) is increased by 100%, it becomes 2x

and the denominator(assume to be y) is increased by 200%, it becomes 3y.

The new fraction is $\frac{4}{27}$ = $\frac{2x}{3y}$

Hence, simplifying we get fraction has $\frac{2}{7}$

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