mcqs Math Percentage 175 is what percent of 330? Or, What percent of 330 is equal to 175? 1210

Question: 175 is what percent of 330? Or, What percent of 330 is equal to 175?

(A)  66.29%
(B)  39.77%
(C)  53.03%
(D)  79.55%

Correct Answer 53.03%

Solution And Explanation

Solution

Given number = 330

To find, 175 is what percent of 330?

This question can be written as also

What percent of 330 is equal to 175?

⇒ ?% of 330 = 175

Let ? = m

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

∴ m% of 330 = 175

⇒ m% × 330 = 175

⇒ ^m/₁₀₀ × 330 = 175

⇒ ^{330 m}/₁₀₀ = 175

After cross multiplication, we get

330 m = 175 × 100

After transposing 330 to RHS, we get

m = ^{175 × 100}/₃₃₀

⇒ m = ¹⁷⁵⁰⁰/₃₃₀

⇒ m = 53.03%

Thus, 53.03% of 330 = 175

Thus, Answer = 53.03%

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 330 = 175

Here, we have ? = m

a = 330

And, b = 175

Thus, using formula

⇒ m = ^{175 × 100}/₃₃₀

= ^{175 × 100}/₃₃₀

= ¹⁷⁵⁰⁰/₃₃₀ = 53.03%

Thus, 53.03% of 330 = 175

Thus, 53.03% Answer