mcqs Math Percentage 225 is what percent of 430? Or, What percent of 430 is equal to 225? 1220

Question: 225 is what percent of 430? Or, What percent of 430 is equal to 225?

(A)  65.41%
(B)  39.25%
(C)  52.33%
(D)  78.5%

Correct Answer 52.33%

Solution And Explanation

Solution

Given number = 430

To find, 225 is what percent of 430?

This question can be written as also

What percent of 430 is equal to 225?

⇒ ?% of 430 = 225

Let ? = m

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

∴ m% of 430 = 225

⇒ m% × 430 = 225

⇒ ^m/₁₀₀ × 430 = 225

⇒ ^{430 m}/₁₀₀ = 225

After cross multiplication, we get

430 m = 225 × 100

After transposing 430 to RHS, we get

m = ^{225 × 100}/₄₃₀

⇒ m = ²²⁵⁰⁰/₄₃₀

⇒ m = 52.33%

Thus, 52.33% of 430 = 225

Thus, Answer = 52.33%

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 430 = 225

Here, we have ? = m

a = 430

And, b = 225

Thus, using formula

⇒ m = ^{225 × 100}/₄₃₀

= ^{225 × 100}/₄₃₀

= ²²⁵⁰⁰/₄₃₀ = 52.33%

Thus, 52.33% of 430 = 225

Thus, 52.33% Answer