Question : 5 is what percent of 75? Or, What percent of 75 is equal to 5?
Correct Answer 6.67%
Solution & Explanation
Solution
Method (1)
Given number = 75
To find, 5 is what percent of 75?
This question can be written as also
What percent of 75 is equal to 5?
⇒ ?% of 75 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 75 = 5
⇒ m% × 75 = 5
⇒ m/100 × 75 = 5
⇒ 75 m/100 = 5
After cross multiplication, we get
75 m = 5 × 100
After transposing 75 to RHS, we get
m = 5 × 100/75
⇒ m = 500/75
⇒ m = 6.67%
Thus, 6.67% of 75 = 5
Thus, Answer = 6.67%
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 75 = 5
Here, we have ? = m
a = 75
And, b = 5
Thus, using formula
⇒ m = 5 × 100/75
= 5 × 100/75
= 500/75 = 6.67%
Thus, 6.67% of 75 = 5
Thus, 6.67% Answer
Similar Questions
(1) Convert 318% into fraction.
(2) 5 is what percent of 92? Or, What percent of 92 is equal to 5?
(3) Convert 813% into fraction.
(5) Convert 587% into fraction.
(6) Convert 715% into fraction.
(7) 165 is what percent of 310? Or, What percent of 310 is equal to 165?
(8) 20 is what percent of 20? Or, What percent of 20 is equal to 20?
(9) Convert 914% into fraction.
(10) Convert 940% into fraction.