mcqs Math Percentage 35 is what percent of 50? Or, What percent of 50 is equal to 35? 1182

Question: 35 is what percent of 50? Or, What percent of 50 is equal to 35?

(A)  87.5%
(B)  52.5%
(C)  70%
(D)  105%

Correct Answer 70%

Solution And Explanation

Solution

Given number = 50

To find, 35 is what percent of 50?

This question can be written as also

What percent of 50 is equal to 35?

⇒ ?% of 50 = 35

Let ? = m

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

∴ m% of 50 = 35

⇒ m% × 50 = 35

⇒ ^m/₁₀₀ × 50 = 35

⇒ ^{50 m}/₁₀₀ = 35

After cross multiplication, we get

50 m = 35 × 100

After transposing 50 to RHS, we get

m = ^{35 × 100}/₅₀

⇒ m = ³⁵⁰⁰/₅₀

⇒ m = 70%

Thus, 70% of 50 = 35

Thus, Answer = 70%

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 50 = 35

Here, we have ? = m

a = 50

And, b = 35

Thus, using formula

⇒ m = ^{35 × 100}/₅₀

= ^{35 × 100}/₅₀

= ³⁵⁰⁰/₅₀ = 70%

Thus, 70% of 50 = 35

Thus, 70% Answer