Question

The ratio of the earnings of p and q is 9 : 10. If the earnings of p increases by one-fourth and the earnings of q decreases by one-fourth, then find the new ratio of their earnings

Answer 1

This is ur answer. Hope u got it

Answer 2

Answer:  The new ratio of the earnings of p and q is 3 : 2.

Step-by-step explanation:  Given that the ratio of the earnings of p and q is 9 : 10. The earnings of p increases by one-fourth and the earnings of q decreases by one-fourth.

We are to find the new ratio of the earnings of p and q.

Let 9x and 10x represents the earnings of p and q respectively.

Then, after the changes in p and q's earnings, the new ratio will be calculated as follows :

$\dfrac{9x+\frac{1}{4}\times9x}{10x-\frac{1}{4}\times10x}\\\\\\=\dfrac{9x+\frac{9x}{4}}{10x-\frac{10x}{4}}\\\\\\=\dfrac{\frac{36x+9x}{4}}{\frac{40x-10x}{4}}\\\\\\=\dfrac{45x}{4}\times\dfrac{4}{30x}\\\\\\=\dfrac{45}{30}\\\\\\=\dfrac{3}{2}\\\\=3:2.$

Thus, the new ratio of the earnings of p and q is 3 : 2.