​If the numerator of a fraction is increased by 25% and the denominator is decreased by 10%, the value of the new fraction becomes $$\frac{25}{24}$$​. Find the original fraction. ​

Correct option is D

Given:

Numerator increased by 25%

Denominator decreased by 10%

New fraction =$$\frac{25}{24}$$​​

Solution:

​$$\frac{1.25x}{0.9y} = \frac{25}{24}$$​​

​$$\frac{125x}{100 \times 0.9y} = \frac{25}{24}$$​

​$$\frac{125x}{90y} = \frac{25}{24}$$​

​$$125x \times 24 = 25 \times 90y$$​

3000x = 2250y

​$$\frac{x}{y} = \frac{2250}{3000} = \frac{3}{4}$$​