Question : 50 is what percent of 80? Or, What percent of 80 is equal to 50?
Correct Answer 62.5%
Solution & Explanation
Solution
Given number = 80
To find, 50 is what percent of 80?
This question can be written as also
What percent of 80 is equal to 50?
⇒ ?% of 80 = 50
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 80 = 50
⇒ m% × 80 = 50
⇒ m/100 × 80 = 50
⇒ 80 m/100 = 50
After cross multiplication, we get
80 m = 50 × 100
After transposing 80 to RHS, we get
m = 50 × 100/80
⇒ m = 5000/80
⇒ m = 62.5%
Thus, 62.5% of 80 = 50
Thus, Answer = 62.5%
Shortcut Method to find a number is what percent of other
If we have to find
? % of a = b
Here, let ? = m
Thus, above expression can be written as
m% of a = b
⇒ m/100 × a = b
⇒ m × a/100 = b
After cross multiplication, we get
m × a = b × 100
⇒ m = b × 100/a
Thus, using this formula, we can find a number (a) is what (m) percent of b
In the question, we have to find what percent of 80 = 50
Here, we have ? = m
a = 80
And, b = 50
Thus, using formula
⇒ m = 50 × 100/80
= 50 × 100/80
= 5000/80 = 62.5%
Thus, 62.5% of 80 = 50
Thus, 62.5% Answer
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