mcqs Math Percentage 200 is what percent of 380? Or, What percent of 380 is equal to 200? 1215

Question: 200 is what percent of 380? Or, What percent of 380 is equal to 200?

(A)  65.79%
(B)  39.47%
(C)  52.63%
(D)  78.95%

Correct Answer 52.63%

Solution And Explanation

Solution

Given number = 380

To find, 200 is what percent of 380?

This question can be written as also

What percent of 380 is equal to 200?

⇒ ?% of 380 = 200

Let ? = m

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

∴ m% of 380 = 200

⇒ m% × 380 = 200

⇒ ^m/₁₀₀ × 380 = 200

⇒ ^{380 m}/₁₀₀ = 200

After cross multiplication, we get

380 m = 200 × 100

After transposing 380 to RHS, we get

m = ^{200 × 100}/₃₈₀

⇒ m = ²⁰⁰⁰⁰/₃₈₀

⇒ m = 52.63%

Thus, 52.63% of 380 = 200

Thus, Answer = 52.63%

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 380 = 200

Here, we have ? = m

a = 380

And, b = 200

Thus, using formula

⇒ m = ^{200 × 100}/₃₈₀

= ^{200 × 100}/₃₈₀

= ²⁰⁰⁰⁰/₃₈₀ = 52.63%

Thus, 52.63% of 380 = 200

Thus, 52.63% Answer