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If two numbers are respectively 20% and 50% of a 3rd number then what % is the 1st number of the 2nd one?
- a)10
- b)20
- c)30
- d)40
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If two numbers are respectively 20% and 50% of a 3rd number then what ...
Let third number is x.
Then first no. 20% of x= 
Second number = 50% of x = 
Percent of first number of second number,
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Community Answer
If two numbers are respectively 20% and 50% of a 3rd number then what ...
Understanding the Problem
To find out what percentage the first number is of the second number, we need to define both numbers in relation to the third number.
Defining the Numbers
- Let the third number be x.
- The first number, which is 20% of x, can be expressed as:
- First Number = 0.20 * x
- The second number, which is 50% of x, can be expressed as:
- Second Number = 0.50 * x
Calculating the Percentage
Now, we need to find out what percentage the first number (0.20 * x) is of the second number (0.50 * x). The formula for percentage is:
- Percentage = (Part / Whole) * 100
In this case:
- Part = First Number = 0.20 * x
- Whole = Second Number = 0.50 * x
Using the formula, we calculate:
- Percentage = ((0.20 * x) / (0.50 * x)) * 100
Simplifying the Expression
The x in the numerator and denominator cancels out:
- Percentage = (0.20 / 0.50) * 100
Now, simplifying further:
- Percentage = (0.4) * 100 = 40%
Conclusion
Thus, the first number is 40% of the second number. Therefore, the correct answer is option D.
To find out what percentage the first number is of the second number, we need to define both numbers in relation to the third number.
Defining the Numbers
- Let the third number be x.
- The first number, which is 20% of x, can be expressed as:
- First Number = 0.20 * x
- The second number, which is 50% of x, can be expressed as:
- Second Number = 0.50 * x
Calculating the Percentage
Now, we need to find out what percentage the first number (0.20 * x) is of the second number (0.50 * x). The formula for percentage is:
- Percentage = (Part / Whole) * 100
In this case:
- Part = First Number = 0.20 * x
- Whole = Second Number = 0.50 * x
Using the formula, we calculate:
- Percentage = ((0.20 * x) / (0.50 * x)) * 100
Simplifying the Expression
The x in the numerator and denominator cancels out:
- Percentage = (0.20 / 0.50) * 100
Now, simplifying further:
- Percentage = (0.4) * 100 = 40%
Conclusion
Thus, the first number is 40% of the second number. Therefore, the correct answer is option D.
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Question Description
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