Question

The difference between two numbers is 1960. If 7.5% of the numbers is 12.5% of the other number, find the larger number

Answer 1

$x \times \frac{7.5}{100} = y \times \frac{12.5}{100} \\ \\ \frac{x}{y} = \frac{125}{75} = \frac{5}{3}$

$5k - 3k = 1960 \\ 2k = 1960 \\ k = 980$
so the larger number is 5k= 5×980=4900