On selling an article for 651. there is a loss of 7%. The cost price of that article is

Options

A. 744
B. 751
C. 793
D. 700

Answer

To find the cost price (CP) of the article given that it is sold for 651 with a loss of 7%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price (SP), Cost Price (CP), and Loss Percentage
When there is a loss, the Selling Price is less than the Cost Price. The formula to calculate Selling Price when there is a loss is:
\[ SP = CP - \text{Loss} \]
The loss can also be expressed in percentage terms:
\[ \text{Loss} = \frac{\text{Loss Percentage}}{100} \times CP \]

### Step 2: Set up the equation
Given that the loss percentage is 7%, we can express the Selling Price as:
\[ SP = CP - \left(\frac{7}{100} \times CP\right) \]
This simplifies to:
\[ SP = CP \left(1 - \frac{7}{100}\right) = CP \left(\frac{93}{100}\right) \]

### Step 3: Substitute the Selling Price
We know from the question that the Selling Price (SP) is 651. So we can write:
\[ 651 = CP \left(\frac{93}{100}\right) \]

### Step 4: Solve for Cost Price (CP)
To find CP, we rearrange the equation:
\[ CP = 651 \times \frac{100}{93} \]

### Step 5: Calculate CP
Now, we perform the calculation:
\[ CP = 651 \times \frac{100}{93} \]
\[ CP = 651 \times 1.0753 \] (approximately)
\[ CP \approx 700 \]

### Conclusion
The cost price of the article is approximately **700**.

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