IBPS PO Quantitative Aptitude: Fractions questions with solutions

Q1. The numerator of a fraction is decreased by 25% and the denominator is increased by 250%. If the resultant fraction is \(\frac{6}{5}\), what is the original fraction?

1. 22/5
2. 24/5
3. 28/5
4. 30/5

Answer: 28/5

If the original fraction is x/y, then the new fraction becomes (3x/4)/(7y/2) = 3x/14y. This is given as 6/5, so 3x/14y = 6/5. Solving gives x/y = 28/5.