Question : 5 is what percent of 3? Or, What percent of 3 is equal to 5?
Correct Answer 166.67%
Solution & Explanation
Solution
Method (1)
Given number = 3
To find, 5 is what percent of 3?
This question can be written as also
What percent of 3 is equal to 5?
⇒ ?% of 3 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 3 = 5
⇒ m% × 3 = 5
⇒ m/100 × 3 = 5
⇒ 3 m/100 = 5
After cross multiplication, we get
3 m = 5 × 100
After transposing 3 to RHS, we get
m = 5 × 100/3
⇒ m = 500/3
⇒ m = 166.67%
Thus, 166.67% of 3 = 5
Thus, Answer = 166.67%
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 3 = 5
Here, we have ? = m
a = 3
And, b = 5
Thus, using formula
⇒ m = 5 × 100/3
= 5 × 100/3
= 500/3 = 166.67%
Thus, 166.67% of 3 = 5
Thus, 166.67% Answer
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