mcqs Math Percentage 220 is what percent of 420? Or, What percent of 420 is equal to 220? 1219

Question: 220 is what percent of 420? Or, What percent of 420 is equal to 220?

(A)  65.48%
(B)  39.29%
(C)  52.38%
(D)  78.57%

Correct Answer 52.38%

Solution And Explanation

Solution

Given number = 420

To find, 220 is what percent of 420?

This question can be written as also

What percent of 420 is equal to 220?

⇒ ?% of 420 = 220

Let ? = m

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

∴ m% of 420 = 220

⇒ m% × 420 = 220

⇒ ^m/₁₀₀ × 420 = 220

⇒ ^{420 m}/₁₀₀ = 220

After cross multiplication, we get

420 m = 220 × 100

After transposing 420 to RHS, we get

m = ^{220 × 100}/₄₂₀

⇒ m = ²²⁰⁰⁰/₄₂₀

⇒ m = 52.38%

Thus, 52.38% of 420 = 220

Thus, Answer = 52.38%

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 420 = 220

Here, we have ? = m

a = 420

And, b = 220

Thus, using formula

⇒ m = ^{220 × 100}/₄₂₀

= ^{220 × 100}/₄₂₀

= ²²⁰⁰⁰/₄₂₀ = 52.38%

Thus, 52.38% of 420 = 220

Thus, 52.38% Answer