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Percentage
Math MCQs


Question :    5 is what percent of 16? Or, What percent of 16 is equal to 5?


Correct Answer  31.25%

Solution & Explanation

Solution

Method (1)

Given number = 16

To find, 5 is what percent of 16?

This question can be written as also

What percent of 16 is equal to 5?

⇒ ?% of 16 = 5

Let ? = m

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

∴ m% of 16 = 5

⇒ m% × 16 = 5

m/100 × 16 = 5

16 m/100 = 5

After cross multiplication, we get

16 m = 5 × 100

After transposing 16 to RHS, we get

m = 5 × 100/16

⇒ m = 500/16

⇒ m = 31.25%

Thus, 31.25% of 16 = 5

Thus, Answer = 31.25%

Method (2) Shortcut Method

Shortcut Method to find a number is what percent of other

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 16 = 5

Here, we have ? = m

a = 16

And, b = 5

Thus, using formula

⇒ m = 5 × 100/16

= 5 × 100/16

= 500/16 = 31.25%

Thus, 31.25% of 16 = 5

Thus, 31.25% Answer


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