Question 140

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 ?

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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