Question : 15 is what percent of 10? Or, What percent of 10 is equal to 15?
Correct Answer 150%
Solution & Explanation
Solution
Given number = 10
To find, 15 is what percent of 10?
This question can be written as also
What percent of 10 is equal to 15?
⇒ ?% of 10 = 15
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 10 = 15
⇒ m% × 10 = 15
⇒ m/100 × 10 = 15
⇒ 10 m/100 = 15
After cross multiplication, we get
10 m = 15 × 100
After transposing 10 to RHS, we get
m = 15 × 100/10
⇒ m = 1500/10
⇒ m = 150%
Thus, 150% of 10 = 15
Thus, Answer = 150%
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 10 = 15
Here, we have ? = m
a = 10
And, b = 15
Thus, using formula
⇒ m = 15 × 100/10
= 15 × 100/10
= 1500/10 = 150%
Thus, 150% of 10 = 15
Thus, 150% Answer
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