mcqs Math Percentage 240 is what percent of 460? Or, What percent of 460 is equal to 240? 1223

Question: 240 is what percent of 460? Or, What percent of 460 is equal to 240?

(A)  65.21%
(B)  39.13%
(C)  52.17%
(D)  78.26%

Correct Answer 52.17%

Solution And Explanation

Solution

Given number = 460

To find, 240 is what percent of 460?

This question can be written as also

What percent of 460 is equal to 240?

⇒ ?% of 460 = 240

Let ? = m

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

∴ m% of 460 = 240

⇒ m% × 460 = 240

⇒ ^m/₁₀₀ × 460 = 240

⇒ ^{460 m}/₁₀₀ = 240

After cross multiplication, we get

460 m = 240 × 100

After transposing 460 to RHS, we get

m = ^{240 × 100}/₄₆₀

⇒ m = ²⁴⁰⁰⁰/₄₆₀

⇒ m = 52.17%

Thus, 52.17% of 460 = 240

Thus, Answer = 52.17%

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 460 = 240

Here, we have ? = m

a = 460

And, b = 240

Thus, using formula

⇒ m = ^{240 × 100}/₄₆₀

= ^{240 × 100}/₄₆₀

= ²⁴⁰⁰⁰/₄₆₀ = 52.17%

Thus, 52.17% of 460 = 240

Thus, 52.17% Answer