Question : 40 is what percent of 60? Or, What percent of 60 is equal to 40?
Correct Answer 66.67%
Solution & Explanation
Solution
Given number = 60
To find, 40 is what percent of 60?
This question can be written as also
What percent of 60 is equal to 40?
⇒ ?% of 60 = 40
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 60 = 40
⇒ m% × 60 = 40
⇒ m/100 × 60 = 40
⇒ 60 m/100 = 40
After cross multiplication, we get
60 m = 40 × 100
After transposing 60 to RHS, we get
m = 40 × 100/60
⇒ m = 4000/60
⇒ m = 66.67%
Thus, 66.67% of 60 = 40
Thus, Answer = 66.67%
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 60 = 40
Here, we have ? = m
a = 60
And, b = 40
Thus, using formula
⇒ m = 40 × 100/60
= 40 × 100/60
= 4000/60 = 66.67%
Thus, 66.67% of 60 = 40
Thus, 66.67% Answer
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