mcqs Math Percentage 260 is what percent of 500? Or, What percent of 500 is equal to 260? 1227

Question: 260 is what percent of 500? Or, What percent of 500 is equal to 260?

(A)  65%
(B)  39%
(C)  52%
(D)  78%

Correct Answer 52%

Solution And Explanation

Solution

Given number = 500

To find, 260 is what percent of 500?

This question can be written as also

What percent of 500 is equal to 260?

⇒ ?% of 500 = 260

Let ? = m

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

∴ m% of 500 = 260

⇒ m% × 500 = 260

⇒ ^m/₁₀₀ × 500 = 260

⇒ ^{500 m}/₁₀₀ = 260

After cross multiplication, we get

500 m = 260 × 100

After transposing 500 to RHS, we get

m = ^{260 × 100}/₅₀₀

⇒ m = ²⁶⁰⁰⁰/₅₀₀

⇒ m = 52%

Thus, 52% of 500 = 260

Thus, Answer = 52%

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 500 = 260

Here, we have ? = m

a = 500

And, b = 260

Thus, using formula

⇒ m = ^{260 × 100}/₅₀₀

= ^{260 × 100}/₅₀₀

= ²⁶⁰⁰⁰/₅₀₀ = 52%

Thus, 52% of 500 = 260

Thus, 52% Answer