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If the numerator of a certain fraction increased by 200% and the denominator is increased by 150% the new fraction thus formed is $$\frac{9}{10}$$. What is the original fraction ?

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If the numerator of a certain fraction increased by 200% and the denominator is increased by 150% the new fraction thus formed is $$\frac{9}{10}$$. What is the original fraction ?
1). $$\frac{3}{4}$$
2). $$\frac{1}{4}$$
3). $$\frac{3}{5}$$
4). $$\frac{2}{5}$$


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Answered by on | Votes 0 |
Solution

Let numerator be x and denominator be y.

If numerator is increased by 200% it becomes 3x and if numerator is increased by 150% it becomes 2.5y

Now the new fraction is 9/10.

Hence, (3x/2.5y)=(9/10) which gives $\frac{x}{y}$=$\frac{3}{4}$

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1 vote
Answered by on | Votes 1 |
Solution

Let numerator be x and denominator be y.

If numerator is increased by 200% it becomes 3x and if numerator is increased by 150% it becomes 2.5y

Now the new fraction is 9/10.

Hence, (3x/2.5y)=(9/10) which gives $\frac{x}{y}$=$\frac{3}{4}$




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