Question : 5 is what percent of 39? Or, What percent of 39 is equal to 5?
Correct Answer 12.82%
Solution & Explanation
Solution
Method (1)
Given number = 39
To find, 5 is what percent of 39?
This question can be written as also
What percent of 39 is equal to 5?
⇒ ?% of 39 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 39 = 5
⇒ m% × 39 = 5
⇒ m/100 × 39 = 5
⇒ 39 m/100 = 5
After cross multiplication, we get
39 m = 5 × 100
After transposing 39 to RHS, we get
m = 5 × 100/39
⇒ m = 500/39
⇒ m = 12.82%
Thus, 12.82% of 39 = 5
Thus, Answer = 12.82%
Method (2) Shortcut Method
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 39 = 5
Here, we have ? = m
a = 39
And, b = 5
Thus, using formula
⇒ m = 5 × 100/39
= 5 × 100/39
= 500/39 = 12.82%
Thus, 12.82% of 39 = 5
Thus, 12.82% Answer
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