Question

30% of a certain length is 600mm. what is the complete length?

Answer 1

Answer:

The complete length is 2000mm.

Step-by-step explanation:

Given :

30% of a certain length is 600mm.

To find :

the complete length.

Solution:

Let x be the complete length.

Usually percentage is expressed as the given number divided by 100.

' of ' represents the multiplication symbol.

so, 30% of a certain length is 600mm⇒ 30% of x = 600

                                                             ⇒30 × x = 600

                                                               100

                                                             ⇒ 3 × x = 600

                                                                 10

                                                      ⇒ x = 600 × 10

                                                                            3

                                                      ⇒x = 200×10 = 2000.

so, x = 2000mm , thus 30% of 2000mm is 600mm.

∴ , the complete length  = 2000mm.

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Answer 2

Answer:

The complete length is 2000 mm.

Step-by-step explanation:

It is given that the 30% of a certain length is 600 mm.

We need to find the complete length.

Let the complete length be y.

Since the 30% of a certain length is 600 mm, i.e.,

30% of the complete length is 600 mm.

Mathematically,

⇒ 30% of y = 600

Now, solve the equality for y.

⇒ 30% × y = 600

⇒ $\frac{30}{100}$ × y = 600

⇒ y = 600 × $\frac{100}{30}$

⇒ y = 20 × 100

⇒ y = 2000

Final answer: The complete length is 2000 mm.

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