A peice of cloth measured with a metre stick, one cm short, is 100 metres long. Reckoning the metre stick as being right, the actual length of the cloth (in cm) is

Options

A. 3900
B. 9, 900
C. 8000
D. 6, 100

Answer

To solve the problem, we need to determine the actual length of the cloth in centimeters, given that the meter stick used for measurement is 1 cm short.

### Step-by-Step Solution:

1. **Understand the Measurement**: The cloth is measured to be 100 meters long using a meter stick that is actually 1 cm short. This means that when the meter stick indicates 1 meter, it is actually only 99 cm.

2. **Convert the Measured Length to Centimeters**: Since 1 meter is equal to 100 centimeters, 100 meters is equal to:
\[ 100 \text{ meters} = 100 \times 100 = 10000 \text{ cm} \]

3. **Calculate the Actual Length of the Cloth**: Since the meter stick is 1 cm short, when it shows 100 meters, the actual length of the cloth can be calculated as follows:
- Each meter measured is actually 99 cm.
- Therefore, for 100 meters measured, the actual length in centimeters is:
\[ \text{Actual Length} = 100 \text{ meters} \times 99 \text{ cm/meter} = 10000 \text{ cm} - 100 \text{ cm} = 9900 \text{ cm} \]

4. **Final Answer**: The actual length of the cloth is 9900 cm.

### Summary:
The actual length of the cloth, when measured with a meter stick that is 1 cm short, is 9900 cm.