mcqs Math Percentage 125 is what percent of 230? Or, What percent of 230 is equal to 125? 1200

Question: 125 is what percent of 230? Or, What percent of 230 is equal to 125?

(A)  67.94%
(B)  40.76%
(C)  54.35%
(D)  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%

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