Percentage
MCQs Math


Question:     210 is what percent of 400? Or, What percent of 400 is equal to 210?


Correct Answer  52.5%

Solution And Explanation

Solution

Given number = 400

To find, 210 is what percent of 400?

This question can be written as also

What percent of 400 is equal to 210?

⇒ ?% of 400 = 210

Let ? = m

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

∴ m% of 400 = 210

⇒ m% × 400 = 210

m/100 × 400 = 210

400 m/100 = 210

After cross multiplication, we get

400 m = 210 × 100

After transposing 400 to RHS, we get

m = 210 × 100/400

⇒ m = 21000/400

⇒ m = 52.5%

Thus, 52.5% of 400 = 210

Thus, Answer = 52.5%

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 400 = 210

Here, we have ? = m

a = 400

And, b = 210

Thus, using formula

⇒ m = 210 × 100/400

= 210 × 100/400

= 21000/400 = 52.5%

Thus, 52.5% of 400 = 210

Thus, 52.5% Answer


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