mcqs Math Percentage 180 is what percent of 340? Or, What percent of 340 is equal to 180? 1211

Question: 180 is what percent of 340? Or, What percent of 340 is equal to 180?

(A)  66.18%
(B)  39.71%
(C)  52.94%
(D)  79.41%

Correct Answer 52.94%

Solution And Explanation

Solution

Given number = 340

To find, 180 is what percent of 340?

This question can be written as also

What percent of 340 is equal to 180?

⇒ ?% of 340 = 180

Let ? = m

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

∴ m% of 340 = 180

⇒ m% × 340 = 180

⇒ ^m/₁₀₀ × 340 = 180

⇒ ^{340 m}/₁₀₀ = 180

After cross multiplication, we get

340 m = 180 × 100

After transposing 340 to RHS, we get

m = ^{180 × 100}/₃₄₀

⇒ m = ¹⁸⁰⁰⁰/₃₄₀

⇒ m = 52.94%

Thus, 52.94% of 340 = 180

Thus, Answer = 52.94%

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 340 = 180

Here, we have ? = m

a = 340

And, b = 180

Thus, using formula

⇒ m = ^{180 × 100}/₃₄₀

= ^{180 × 100}/₃₄₀

= ¹⁸⁰⁰⁰/₃₄₀ = 52.94%

Thus, 52.94% of 340 = 180

Thus, 52.94% Answer