# If the numerator of a fraction is decreased by 20% and its denominatior is increased by 10% :

If the numerator of a fraction is decreased by 20% and its denominatior is increased by 10%, then fraction will be 16/25. The fraction is

(a) 2/5

(b) 5/2

(c) 3/5

(d) 5/3

**Answer: (a) 2/5 **

**Solution:-**

Let the fraction be X/Y.

If the numerator of a fraction is decreased by 20% and its denominator is increased by 10%, then fraction will be 16/25.

Then, (80 X/100)/(110 Y/100) = 16/25

80 X/110 Y = 16/25

8 X/11 Y = 16/25

X/Y = 16 x 11/25 x 8