The owner of a cell phone shop charges his customer 28% more than the cost price.If the customer paid र 8960 for the cell phone, what was the cost price of the cell phone?

Options

A. र 7800
B. र 7000
C. र 6900
D. र 6850

Answer

To find the cost price of the cell phone given that the selling price is 8960 and the owner charges 28% more than the cost price, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between Selling Price (SP), Cost Price (CP), and Profit**:
- The selling price is calculated as:
\[ SP = CP + \text{Profit} \]
- Since the profit is 28% of the cost price, we can express it as:
\[ \text{Profit} = 0.28 \times CP \]
- Therefore, we can rewrite the selling price as:
\[ SP = CP + 0.28 \times CP = 1.28 \times CP \]

2. **Set up the equation**:
- We know the selling price (SP) is 8960, so we can set up the equation:
\[ 8960 = 1.28 \times CP \]

3. **Solve for the Cost Price (CP)**:
- To find CP, we rearrange the equation:
\[ CP = \frac{8960}{1.28} \]

4. **Perform the division**:
- To simplify the division, we can convert 1.28 to a fraction:
\[ 1.28 = \frac{128}{100} = \frac{32}{25} \]
- So, we can rewrite CP as:
\[ CP = 8960 \times \frac{25}{32} \]

5. **Calculate the multiplication**:
- First, divide 8960 by 32:
\[ 8960 \div 32 = 280 \]
- Then multiply by 25:
\[ CP = 280 \times 25 = 7000 \]

6. **Conclusion**:
- The cost price of the cell phone is:
\[ CP = \text{Rs } 7000 \]

### Final Answer:
The cost price of the cell phone is Rs 7000.

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