Two numbers are in the ratio 2 : 3; if 20 is added to 20% of the smaller number, it will be equal to 10% of the larger number plus 25. Then, the smaller number is: ___________.

Correct option is A

Given:

Two numbers are in the ratio 2 : 3

Solution:

Let the smaller number = 2x, and the larger number = 3x

20% of smaller + 20 = 10% of larger +25

​$$\frac{2x}{5} + 20 = \frac{3x}{10} + 25$$​

4x + 200 = 3x + 250

4x - 3x = 250 - 200

x = 50

Smaller number = 2$$x = 2 \times 50 =100$$​​

The smaller number is 100.