Question:
( 13 of 10 ) 125 is what percent of 230? Or, What percent of 230 is equal to 125?
(A) 43 वर्ष तथा 13 वर्ष
(B) 42 वर्ष तथा 23 वर्ष
(C) 56 वर्ष तथा 30 वर्ष
(D) 28 वर्ष तथा 15 वर्ष
You selected
81.53%
Correct Answer
54.35%
Solution And Explanation
Solution
Given number = 230
To find, 125 is what percent of 230?
This question can be written as also
What percent of 230 is equal to 125?
⇒ ?% of 230 = 125
Let ? = m
And the meaning of "of" in mathematics is "Multiplication".
∴ m% of 230 = 125
⇒ m% × 230 = 125
⇒ m/100 × 230 = 125
⇒ 230 m/100 = 125
After cross multiplication, we get
230 m = 125 × 100
After transposing 230 to RHS, we get
m = 125 × 100/230
⇒ m = 12500/230
⇒ m = 54.35%
Thus, 54.35% of 230 = 125
Thus, Answer = 54.35%
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 230 = 125
Here, we have ? = m
a = 230
And, b = 125
Thus, using formula
⇒ m = 125 × 100/230
= 125 × 100/230
= 12500/230 = 54.35%
Thus, 54.35% of 230 = 125
Thus, 54.35% Answer
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