Question

If 20% of another number is added to a number, then that number increases by 50%. Then what is the ratio of those two numbers?
1. 3 : 2
2. 2 : 3
3. 5 : 2
4. Cannot be found.

Answer 1

Correct Answer - Option 3 : 5 : 2

Given:

The required number must be added = 20%

Then, the number is increased = 50%

Calculation:

Let the first number be (a) and the second number be (b) 

So, 20% of a + b = b + 50% of b which implies 

⇒ 20% of a = 50% of b

⇒ (20/100) × a = (50/100) × b

⇒ a/b = 50/20 = 5/2

∴ The ratio of the first to the second = 5 : 2