Question

90% of runners in a marathon successfully completed it. 30% of these runners were men. How many total runners began the marathon if 270 men completed it?

Answer 1

Thus, the total number of runners are 1000

Step-by-step explanation:

Let the total number of runners be = 100

Given data:

Percentage of runners who completed the marathon = 90%

The number of runners who completed it = 90℅ of 100

                                                                     = 90 / 100 x 100 = 90

Percentage of men = 30%

The number of men who completed it = 30℅ of 90

                                                               = 30 / 100 x 90 = 27

Now equating the observed values with the actual values

According to the question.

27 is equal =  270 runners

So 100 is equal = 1000 runners

Thus, the total number of runners are 1000

Answer 2

Given:

Percentage of runners successfully accomplished in a marathon

= 90%

Percentage of men

= 30%

To Find:

The total number of runners in marathon = ?

Solution:

According to the question,

The number of runners who finished

= $90 \ percent \ of \ 100$

= $\frac{90}{100}\times 100$

= $90$

The amount of men who had things done

= $30 \ percent \ of \ 90$

= $\frac{30}{100}\times 90$

= $27$

Today, the values measured should be equated with the real values:

⇒  27 is equivalent to 270 runners

⇒  100 is equivalent to 1000 runners

So that the total number of runners in marathon will be "1000".