Question:
( 1 of 10 ) 5 is what percent of 44? Or, What percent of 44 is equal to 5?
(A) 43 वर्ष तथा 13 वर्ष
(B) 56 वर्ष तथा 30 वर्ष
(C) 28 वर्ष तथा 15 वर्ष
(D) 42 वर्ष तथा 23 वर्ष
You selected
17.04%
Correct Answer
11.36%
Solution And Explanation
Solution
Method (1)
Given number = 44
To find, 5 is what percent of 44?
This question can be written as also
What percent of 44 is equal to 5?
⇒ ?% of 44 = 5
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 44 = 5
⇒ m% × 44 = 5
⇒ m/100 × 44 = 5
⇒ 44 m/100 = 5
After cross multiplication, we get
44 m = 5 × 100
After transposing 44 to RHS, we get
m = 5 × 100/44
⇒ m = 500/44
⇒ m = 11.36%
Thus, 11.36% of 44 = 5
Thus, Answer = 11.36%
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 44 = 5
Here, we have ? = m
a = 44
And, b = 5
Thus, using formula
⇒ m = 5 × 100/44
= 5 × 100/44
= 500/44 = 11.36%
Thus, 11.36% of 44 = 5
Thus, 11.36% Answer
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