mcqs Math Percentage 215 is what percent of 410? Or, What percent of 410 is equal to 215? 1218

Question: 215 is what percent of 410? Or, What percent of 410 is equal to 215?

(A)  65.55%
(B)  39.33%
(C)  52.44%
(D)  78.66%

Correct Answer 52.44%

Solution And Explanation

Solution

Given number = 410

To find, 215 is what percent of 410?

This question can be written as also

What percent of 410 is equal to 215?

⇒ ?% of 410 = 215

Let ? = m

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

∴ m% of 410 = 215

⇒ m% × 410 = 215

⇒ ^m/₁₀₀ × 410 = 215

⇒ ^{410 m}/₁₀₀ = 215

After cross multiplication, we get

410 m = 215 × 100

After transposing 410 to RHS, we get

m = ^{215 × 100}/₄₁₀

⇒ m = ²¹⁵⁰⁰/₄₁₀

⇒ m = 52.44%

Thus, 52.44% of 410 = 215

Thus, Answer = 52.44%

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 410 = 215

Here, we have ? = m

a = 410

And, b = 215

Thus, using formula

⇒ m = ^{215 × 100}/₄₁₀

= ^{215 × 100}/₄₁₀

= ²¹⁵⁰⁰/₄₁₀ = 52.44%

Thus, 52.44% of 410 = 215

Thus, 52.44% Answer