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Answer :
To find out the cost price per metre of the cloth, we need to follow these steps:
1. Determine the total selling price and loss percentage:
- Selling price for 1000 metres of cloth is ₹ 24000.
- Loss percentage is 4%.
2. Calculate the total loss amount:
- The loss amount can be determined using the formula:
[tex]\[
\text{Loss Amount} = \left(\frac{\text{Loss Percentage}}{100}\right) \times \text{Selling Price Total}
\][/tex]
- Plugging in the values, we get:
[tex]\[
\text{Loss Amount} = \left(\frac{4}{100}\right) \times 24000 = 960
\][/tex]
3. Calculate the total cost price:
- Since the selling price resulted in a loss, the total cost price must be more than the selling price. Specifically, the cost price total is the sum of the selling price and the loss amount:
[tex]\[
\text{Cost Price Total} = \text{Selling Price Total} + \text{Loss Amount}
\][/tex]
- Using our previously calculated values:
[tex]\[
\text{Cost Price Total} = 24000 + 960 = 24960
\][/tex]
4. Determine the cost price per metre:
- To find the cost price per metre, we divide the total cost price by the total length of the cloth:
[tex]\[
\text{Cost Price per Metre} = \frac{\text{Cost Price Total}}{1000}
\][/tex]
- Substituting the values:
[tex]\[
\text{Cost Price per Metre} = \frac{24960}{1000} = 24.96
\][/tex]
Therefore, the cost price per metre of the cloth is ₹ 24.96.
1. Determine the total selling price and loss percentage:
- Selling price for 1000 metres of cloth is ₹ 24000.
- Loss percentage is 4%.
2. Calculate the total loss amount:
- The loss amount can be determined using the formula:
[tex]\[
\text{Loss Amount} = \left(\frac{\text{Loss Percentage}}{100}\right) \times \text{Selling Price Total}
\][/tex]
- Plugging in the values, we get:
[tex]\[
\text{Loss Amount} = \left(\frac{4}{100}\right) \times 24000 = 960
\][/tex]
3. Calculate the total cost price:
- Since the selling price resulted in a loss, the total cost price must be more than the selling price. Specifically, the cost price total is the sum of the selling price and the loss amount:
[tex]\[
\text{Cost Price Total} = \text{Selling Price Total} + \text{Loss Amount}
\][/tex]
- Using our previously calculated values:
[tex]\[
\text{Cost Price Total} = 24000 + 960 = 24960
\][/tex]
4. Determine the cost price per metre:
- To find the cost price per metre, we divide the total cost price by the total length of the cloth:
[tex]\[
\text{Cost Price per Metre} = \frac{\text{Cost Price Total}}{1000}
\][/tex]
- Substituting the values:
[tex]\[
\text{Cost Price per Metre} = \frac{24960}{1000} = 24.96
\][/tex]
Therefore, the cost price per metre of the cloth is ₹ 24.96.
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