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
Similar Questions
(1) Convert 924% into fraction.
(2) Convert 376% into fraction.
(3) Convert 409% into fraction.
(4) 240 is what percent of 460? Or, What percent of 460 is equal to 240?
(5) 100 is what percent of 180? Or, What percent of 180 is equal to 100?
(6) 5 is what percent of 28? Or, What percent of 28 is equal to 5?
(7) 170 is what percent of 320? Or, What percent of 320 is equal to 170?
(8) Convert 253% into fraction.
(9) Convert 655% into fraction.
(10) Convert 323% into fraction.