mcqs Math Percentage 140 is what percent of 260? Or, What percent of 260 is equal to 140? 1203

Question: 140 is what percent of 260? Or, What percent of 260 is equal to 140?

(A)  67.31%
(B)  40.39%
(C)  53.85%
(D)  80.78%

Correct Answer 53.85%

Solution And Explanation

Solution

Given number = 260

To find, 140 is what percent of 260?

This question can be written as also

What percent of 260 is equal to 140?

⇒ ?% of 260 = 140

Let ? = m

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

∴ m% of 260 = 140

⇒ m% × 260 = 140

⇒ ^m/₁₀₀ × 260 = 140

⇒ ^{260 m}/₁₀₀ = 140

After cross multiplication, we get

260 m = 140 × 100

After transposing 260 to RHS, we get

m = ^{140 × 100}/₂₆₀

⇒ m = ¹⁴⁰⁰⁰/₂₆₀

⇒ m = 53.85%

Thus, 53.85% of 260 = 140

Thus, Answer = 53.85%

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 260 = 140

Here, we have ? = m

a = 260

And, b = 140

Thus, using formula

⇒ m = ^{140 × 100}/₂₆₀

= ^{140 × 100}/₂₆₀

= ¹⁴⁰⁰⁰/₂₆₀ = 53.85%

Thus, 53.85% of 260 = 140

Thus, 53.85% Answer