mcqs Math Percentage 190 is what percent of 360? Or, What percent of 360 is equal to 190? 1213

Question: 190 is what percent of 360? Or, What percent of 360 is equal to 190?

(A)  65.98%
(B)  39.59%
(C)  52.78%
(D)  79.17%

Correct Answer 52.78%

Solution And Explanation

Solution

Given number = 360

To find, 190 is what percent of 360?

This question can be written as also

What percent of 360 is equal to 190?

⇒ ?% of 360 = 190

Let ? = m

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

∴ m% of 360 = 190

⇒ m% × 360 = 190

⇒ ^m/₁₀₀ × 360 = 190

⇒ ^{360 m}/₁₀₀ = 190

After cross multiplication, we get

360 m = 190 × 100

After transposing 360 to RHS, we get

m = ^{190 × 100}/₃₆₀

⇒ m = ¹⁹⁰⁰⁰/₃₆₀

⇒ m = 52.78%

Thus, 52.78% of 360 = 190

Thus, Answer = 52.78%

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 360 = 190

Here, we have ? = m

a = 360

And, b = 190

Thus, using formula

⇒ m = ^{190 × 100}/₃₆₀

= ^{190 × 100}/₃₆₀

= ¹⁹⁰⁰⁰/₃₆₀ = 52.78%

Thus, 52.78% of 360 = 190

Thus, 52.78% Answer