Percentage
MCQs Math


Question:     5 is what percent of 76? Or, What percent of 76 is equal to 5?


Correct Answer  6.58%

Solution And Explanation

Solution

Method (1)

Given number = 76

To find, 5 is what percent of 76?

This question can be written as also

What percent of 76 is equal to 5?

⇒ ?% of 76 = 5

Let ? = m

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

∴ m% of 76 = 5

⇒ m% × 76 = 5

m/100 × 76 = 5

76 m/100 = 5

After cross multiplication, we get

76 m = 5 × 100

After transposing 76 to RHS, we get

m = 5 × 100/76

⇒ m = 500/76

⇒ m = 6.58%

Thus, 6.58% of 76 = 5

Thus, Answer = 6.58%

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 76 = 5

Here, we have ? = m

a = 76

And, b = 5

Thus, using formula

⇒ m = 5 × 100/76

= 5 × 100/76

= 500/76 = 6.58%

Thus, 6.58% of 76 = 5

Thus, 6.58% Answer


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