Question

The first number is 30% less than the second number and the third number is 40% more than the second number.What is the ratio of the first number to the third number?

Answer 1

Let second number be x

First number Is 30% less than 2nd number. Therefore the 1st number is = 70%x = 0.7x

3rd number. is 40% more than 2nd number. Therefore
3rd number.= x + 40%x = x+0.4x = 1.4x

The required ratio of 3rd and 1st number. is 1.4x/0.7x = 1.4/0.7= 2/1.

Required ratio of 1st :3rd number = 1:2

Answer 2

Let's assume the second number to be 'x'.

According to the problem, the first number is 30% less than the second number.

This means the first number will be (1-30/100)x = 0.7x

Similarly, the third number is 40% more than the second number.

This means the third number will be (1+40/100)x = 1.4x

Now, we are asked to find the ratio of the first number to the third number:

Ratio of the first number to the third number = 0.7x/1.4x

Ratio of the first number to the third number = 1/2

Therefore, the ratio of the first number to the third number is 1:2.