Question : 260 is what percent of 500? Or, What percent of 500 is equal to 260?
Correct Answer 52%
Solution & Explanation
Solution
Given number = 500
To find, 260 is what percent of 500?
This question can be written as also
What percent of 500 is equal to 260?
⇒ ?% of 500 = 260
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 500 = 260
⇒ m% × 500 = 260
⇒ m/100 × 500 = 260
⇒ 500 m/100 = 260
After cross multiplication, we get
500 m = 260 × 100
After transposing 500 to RHS, we get
m = 260 × 100/500
⇒ m = 26000/500
⇒ m = 52%
Thus, 52% of 500 = 260
Thus, Answer = 52%
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 500 = 260
Here, we have ? = m
a = 500
And, b = 260
Thus, using formula
⇒ m = 260 × 100/500
= 260 × 100/500
= 26000/500 = 52%
Thus, 52% of 500 = 260
Thus, 52% Answer
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