mcqs Math Percentage 135 is what percent of 250? Or, What percent of 250 is equal to 135? 1202

Question: 135 is what percent of 250? Or, What percent of 250 is equal to 135?

(A)  67.5%
(B)  40.5%
(C)  54%
(D)  81%

Correct Answer 54%

Solution And Explanation

Solution

Given number = 250

To find, 135 is what percent of 250?

This question can be written as also

What percent of 250 is equal to 135?

⇒ ?% of 250 = 135

Let ? = m

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

∴ m% of 250 = 135

⇒ m% × 250 = 135

⇒ ^m/₁₀₀ × 250 = 135

⇒ ^{250 m}/₁₀₀ = 135

After cross multiplication, we get

250 m = 135 × 100

After transposing 250 to RHS, we get

m = ^{135 × 100}/₂₅₀

⇒ m = ¹³⁵⁰⁰/₂₅₀

⇒ m = 54%

Thus, 54% of 250 = 135

Thus, Answer = 54%

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 250 = 135

Here, we have ? = m

a = 250

And, b = 135

Thus, using formula

⇒ m = ^{135 × 100}/₂₅₀

= ^{135 × 100}/₂₅₀

= ¹³⁵⁰⁰/₂₅₀ = 54%

Thus, 54% of 250 = 135

Thus, 54% Answer