40 % of a number is subtracted from the second number then the second number is reduced to its 3/5.
We need to find the ratio between the first number and the second number.
Let us assume that the first number be “x” and the second number be “y”.
As per the given condition the equation becomes
40% of x = 3/5y
40/100x = 3/5y
2/5x = 3/5y
x/y = 2/5 × 5/3
x/y = 10/15
x/y = 2/3
Hence, The ratio betweenthe two numbers is = 2 :3