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The **Cost Price (CP)** is **₹6700**.
Solución
Given:
- **Selling Price (SP)** = ₹5025
- **Loss Percentage** = 25%
**Objective:** Find the **Cost Price (CP)**.
**Understanding the Relationship:**
When there's a loss, the Selling Price is less than the Cost Price. The loss percentage tells us by what fraction the Cost Price exceeds the Selling Price.
**Mathematical Representation:**
\[
\text{Loss Percentage} = \left( \frac{\text{Loss}}{\text{Cost Price}} \right) \times 100
\]
\[
\text{Loss} = \text{CP} - \text{SP}
\]
Given a 25% loss:
\[
\text{Loss} = 25\% \times \text{CP} = 0.25 \times \text{CP}
\]
\[
\text{SP} = \text{CP} - \text{Loss} = \text{CP} - 0.25\,\text{CP} = 0.75\,\text{CP}
\]
**Calculating Cost Price:**
\[
0.75\,\text{CP} = 5025
\]
\[
\text{CP} = \frac{5025}{0.75} = 6700
\]
**Conclusion:**
The **Cost Price (CP)** is **₹6700**.
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución The Deep Dive
To find the cost price (CP) when the selling price (SP) is ₹5025 and there’s a loss of 25%, you can use the formula: \[ \text{CP} = \frac{\text{SP}}{1 - \text{Loss percentage}} \] In this case, it’s: \[ \text{CP} = \frac{5025}{1 - 0.25} = \frac{5025}{0.75} = ₹6700 \] So, the cost price is ₹6700! Remember, with a loss of 25%, you’re effectively selling your goods for only 75% of their original value. So every time you think about selling something at a loss, just imagine what it could've been worth! Make sure to always calculate whether a discount is worth giving!
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