mcqs Math Percentage 230 is what percent of 440? Or, What percent of 440 is equal to 230? 1221

Question: 230 is what percent of 440? Or, What percent of 440 is equal to 230?

(A)  65.34%
(B)  39.2%
(C)  52.27%
(D)  78.41%

Correct Answer 52.27%

Solution And Explanation

Solution

Given number = 440

To find, 230 is what percent of 440?

This question can be written as also

What percent of 440 is equal to 230?

⇒ ?% of 440 = 230

Let ? = m

And the meaning of "of" in mathematics is "Multiplication".

∴ m% of 440 = 230

⇒ m% × 440 = 230

⇒ ^m/₁₀₀ × 440 = 230

⇒ ^{440 m}/₁₀₀ = 230

After cross multiplication, we get

440 m = 230 × 100

After transposing 440 to RHS, we get

m = ^{230 × 100}/₄₄₀

⇒ m = ²³⁰⁰⁰/₄₄₀

⇒ m = 52.27%

Thus, 52.27% of 440 = 230

Thus, Answer = 52.27%

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 440 = 230

Here, we have ? = m

a = 440

And, b = 230

Thus, using formula

⇒ m = ^{230 × 100}/₄₄₀

= ^{230 × 100}/₄₄₀

= ²³⁰⁰⁰/₄₄₀ = 52.27%

Thus, 52.27% of 440 = 230

Thus, 52.27% Answer