mcqs Math Percentage 90 is what percent of 160? Or, What percent of 160 is equal to 90? 1193

Question: 90 is what percent of 160? Or, What percent of 160 is equal to 90?

(A)  70.31%
(B)  42.19%
(C)  56.25%
(D)  84.38%

Correct Answer 56.25%

Solution And Explanation

Solution

Given number = 160

To find, 90 is what percent of 160?

This question can be written as also

What percent of 160 is equal to 90?

⇒ ?% of 160 = 90

Let ? = m

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

∴ m% of 160 = 90

⇒ m% × 160 = 90

⇒ ^m/₁₀₀ × 160 = 90

⇒ ^{160 m}/₁₀₀ = 90

After cross multiplication, we get

160 m = 90 × 100

After transposing 160 to RHS, we get

m = ^{90 × 100}/₁₆₀

⇒ m = ⁹⁰⁰⁰/₁₆₀

⇒ m = 56.25%

Thus, 56.25% of 160 = 90

Thus, Answer = 56.25%

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 160 = 90

Here, we have ? = m

a = 160

And, b = 90

Thus, using formula

⇒ m = ^{90 × 100}/₁₆₀

= ^{90 × 100}/₁₆₀

= ⁹⁰⁰⁰/₁₆₀ = 56.25%

Thus, 56.25% of 160 = 90

Thus, 56.25% Answer