Question : 5 is what percent of 30? Or, What percent of 30 is equal to 5?
Correct Answer 16.67%
Solution & Explanation
Solution
Method (1)
Given number = 30
To find, 5 is what percent of 30?
This question can be written as also
What percent of 30 is equal to 5?
⇒ ?% of 30 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 30 = 5
⇒ m% × 30 = 5
⇒ m/100 × 30 = 5
⇒ 30 m/100 = 5
After cross multiplication, we get
30 m = 5 × 100
After transposing 30 to RHS, we get
m = 5 × 100/30
⇒ m = 500/30
⇒ m = 16.67%
Thus, 16.67% of 30 = 5
Thus, Answer = 16.67%
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 30 = 5
Here, we have ? = m
a = 30
And, b = 5
Thus, using formula
⇒ m = 5 × 100/30
= 5 × 100/30
= 500/30 = 16.67%
Thus, 16.67% of 30 = 5
Thus, 16.67% Answer
Similar Questions
(1) Convert 687% into fraction.
(2) Convert 674% into fraction.
(3) Convert 730% into fraction.
(4) Convert 961% into fraction.
(5) Convert 295% into fraction.
(6) Convert 704% into fraction.
(7) Convert 593% into fraction.
(8) 5 is what percent of 42? Or, What percent of 42 is equal to 5?
(9) 150 is what percent of 280? Or, What percent of 280 is equal to 150?
(10) Convert 583% into fraction.