Two numbers are respectively 20% and 50% more than a third number. The...
Let the third number be x.
Then, first number = 120% of x =120x/100 = 6x/5
Second number =150% of x = 150x/100 = 3x/2
Ratio of first two numbers = 6x/5 : 3x/2 = 12x : 15x = 4 : 5
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Two numbers are respectively 20% and 50% more than a third number. The...
Let the third number=x so the first number=x+20% 0f x=120x/100. similarly second number is =150x/100 therfore,the ratio between the two numbers is120:150 or4:5.
Two numbers are respectively 20% and 50% more than a third number. The...
Given information:
- Two numbers are respectively 20% and 50% more than a third number.
Let the third number be x.
Then, the first number is 20% more than x, which is (120/100)x = 1.2x.
Similarly, the second number is 50% more than x, which is (150/100)x = 1.5x.
We need to find the ratio of the first and second numbers.
Ratio = (1.2x)/(1.5x) = 12/15 = 4/5
Therefore, the correct answer is option C) 4 : 5.
Explanation:
To solve this question, we need to understand the concept of percentages and ratios. We are given that two numbers are 20% and 50% more than a third number. We can use this information to express the first and second numbers in terms of the third number. Then, we can find the ratio of the first and second numbers.
- Expressing the first and second numbers in terms of the third number:
Let the third number be x.
The first number is 20% more than x, which is (120/100)x = 1.2x.
The second number is 50% more than x, which is (150/100)x = 1.5x.
- Finding the ratio of the first and second numbers:
Ratio = (1.2x)/(1.5x) = 12/15 = 4/5
Therefore, the correct answer is option C) 4 : 5.