If 40% of a number is equal to two-third of another number. What is the ratio of first number to the second number?

3:7

7:3

5:3

None of these

Given that 40% of a number is equal to two-third of another number, we need to find the ratio of the first number to the second number.

Let's assume that the first number is x and the second number is y. 40% of x is equal to 2/3 of y.

We can write this as: 0.4x = 2/3 y To find the ratio of x to y, we can divide both sides by y: 0.4x/y = 2/3

Simplifying further, we get: x/y = (2/3)/(0.4) x/y = 5/3

Therefore, the ratio of the first number to the second number is 5:3.