Question:
5 is what percent of 60? Or, What percent of 60 is equal to 5?
Correct Answer
8.33%
Solution And Explanation
Solution
Method (1)
Given number = 60
To find, 5 is what percent of 60?
This question can be written as also
What percent of 60 is equal to 5?
⇒ ?% of 60 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 60 = 5
⇒ m% × 60 = 5
⇒ m/100 × 60 = 5
⇒ 60 m/100 = 5
After cross multiplication, we get
60 m = 5 × 100
After transposing 60 to RHS, we get
m = 5 × 100/60
⇒ m = 500/60
⇒ m = 8.33%
Thus, 8.33% of 60 = 5
Thus, Answer = 8.33%
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 60 = 5
Here, we have ? = m
a = 60
And, b = 5
Thus, using formula
⇒ m = 5 × 100/60
= 5 × 100/60
= 500/60 = 8.33%
Thus, 8.33% of 60 = 5
Thus, 8.33% Answer
Similar Questions
(1) Convert 922% into fraction.
(2) Convert 909% into fraction.
(3) Convert 479% into fraction.
(4) Convert 718% into fraction.
(5) Convert 483% into fraction.
(6) 245 is what percent of 470? Or, What percent of 470 is equal to 245?
(7) 55 is what percent of 90? Or, What percent of 90 is equal to 55?
(8) 5 is what percent of 62? Or, What percent of 62 is equal to 5?
(9) Convert 64% into fraction.
(10) Convert 870% into fraction.