Question

# Line segment AB represents 25%, Find the length of a line segment which is 100 %( Whereas AB = 8cm)

- 40cm
- 42cm
- 32cm
- 22cm

Hint:

### 1. When a certain quantity is divided into 100 equal parts and a certain part of it is to be expressed in terms of the whole quantity, that portion is called as a percent, represented with a % sign.

2. Percentage represented by AB = Length of AB / Length of full line * 100.

## The correct answer is: 32cm

### Given-

Percentage represented by AB = 25%

Length of AB = 8cm

To find-

Length of line segment which is 100%

Solution-

Let the line segment which is 100% be the full line segment

We know that-

Percentage represented by AB = Length of AB / Length of full line * 100

∴ 25 = 8 / Length of full line * 100

∴ Length of full line = 8 * 100 / 25

∴ Length of full line = 32 cm

Final Answer- Option 'c' i.e. '32cm' is the correct answer to the given question.

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