Question

When numerator of a fraction is increased by 10% and denominator is decreased by 10%, the
resultant fraction is times of its square. Find the fraction.​

Answer 1

Answer:

$\frac{4}{5}$

Let x/y be the original fraction

x - numerator

y - denominator

Now (x + 10%x)/(y + 20%y) = 11/15

(x + (10/100)x)/(y + (20/100)y) = 11/15

(x + .1x)/(y + .2y) = 11/15

1.1x/1.2y = 11/15

By cross multiplication we get

16.5x = 13.2y

Which implies => x/y = 13.2/16.5 = 4/5

The original fraction is 4/5.