Question

45% of a number is same as 30% of another number. The ratio of the first number to the second number is :

(A) 2 : 3
(B) 3 : 2
(C) 3 : 5
(D) 2 : 5

Answer 1

The ratio of the first number to the second number is 3 : 2 (B).

Step-by-step explanation:

To solve this question, let's assume the first number is x and the second number is y. We are given that 45% of x is the same as 30% of y. This can be written as:

0.45x = 0.30y

We can simplify this equation by dividing both sides by 0.15:

3x = 2y

Now, let's find the ratio of x to y. We divide both sides of the equation by y:

3x/y = 2y/y

3x/y = 2

So, the ratio of the first number to the second number is 3 : 2 (B).