Question : 35 is what percent of 50? Or, What percent of 50 is equal to 35?
Correct Answer 70%
Solution & Explanation
Solution
Given number = 50
To find, 35 is what percent of 50?
This question can be written as also
What percent of 50 is equal to 35?
⇒ ?% of 50 = 35
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 50 = 35
⇒ m% × 50 = 35
⇒ m/100 × 50 = 35
⇒ 50 m/100 = 35
After cross multiplication, we get
50 m = 35 × 100
After transposing 50 to RHS, we get
m = 35 × 100/50
⇒ m = 3500/50
⇒ m = 70%
Thus, 70% of 50 = 35
Thus, Answer = 70%
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 50 = 35
Here, we have ? = m
a = 50
And, b = 35
Thus, using formula
⇒ m = 35 × 100/50
= 35 × 100/50
= 3500/50 = 70%
Thus, 70% of 50 = 35
Thus, 70% Answer
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