mcqs Math Percentage 15 is what percent of 10? Or, What percent of 10 is equal to 15? 1178

Question: 15 is what percent of 10? Or, What percent of 10 is equal to 15?

(A)  187.5%
(B)  112.5%
(C)  150%
(D)  225%

Correct Answer 150%

Solution And Explanation

Solution

Given number = 10

To find, 15 is what percent of 10?

This question can be written as also

What percent of 10 is equal to 15?

⇒ ?% of 10 = 15

Let ? = m

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

∴ m% of 10 = 15

⇒ m% × 10 = 15

⇒ ^m/₁₀₀ × 10 = 15

⇒ ^{10 m}/₁₀₀ = 15

After cross multiplication, we get

10 m = 15 × 100

After transposing 10 to RHS, we get

m = ^{15 × 100}/₁₀

⇒ m = ¹⁵⁰⁰/₁₀

⇒ m = 150%

Thus, 150% of 10 = 15

Thus, Answer = 150%

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 10 = 15

Here, we have ? = m

a = 10

And, b = 15

Thus, using formula

⇒ m = ^{15 × 100}/₁₀

= ^{15 × 100}/₁₀

= ¹⁵⁰⁰/₁₀ = 150%

Thus, 150% of 10 = 15

Thus, 150% Answer