mcqs Math Percentage 20 is what percent of 20? Or, What percent of 20 is equal to 20? 1179

Question: 20 is what percent of 20? Or, What percent of 20 is equal to 20?

(A)  125%
(B)  75%
(C)  100%
(D)  150%

Correct Answer 100%

Solution And Explanation

Solution

Given number = 20

To find, 20 is what percent of 20?

This question can be written as also

What percent of 20 is equal to 20?

⇒ ?% of 20 = 20

Let ? = m

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

∴ m% of 20 = 20

⇒ m% × 20 = 20

⇒ ^m/₁₀₀ × 20 = 20

⇒ ^{20 m}/₁₀₀ = 20

After cross multiplication, we get

20 m = 20 × 100

After transposing 20 to RHS, we get

m = ^{20 × 100}/₂₀

⇒ m = ²⁰⁰⁰/₂₀

⇒ m = 100%

Thus, 100% of 20 = 20

Thus, Answer = 100%

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 20 = 20

Here, we have ? = m

a = 20

And, b = 20

Thus, using formula

⇒ m = ^{20 × 100}/₂₀

= ^{20 × 100}/₂₀

= ²⁰⁰⁰/₂₀ = 100%

Thus, 100% of 20 = 20

Thus, 100% Answer