Selling price of an article is र 2220 and the per cent profit earned is 20%. What is the cost price of the article?

Options

A. र1750
B. र1876
C. र 1776
D. र 1850

Answer

To find the cost price (CP) of the article given the selling price (SP) and the profit percentage, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Selling Price (SP) = ₹2220
- Profit Percentage = 20%

2. **Understand the Relationship Between SP, CP, and Profit:**
The formula for selling price when profit percentage is involved is:
\[ SP = CP + (Profit \, \text{Percentage} \times CP) \]
This can be rewritten as:
\[ SP = CP \times (1 + \frac{Profit \, \text{Percentage}}{100}) \]

3. **Substitute the Known Values into the Formula:**
Here, the profit percentage is 20%, so we can substitute:
\[ SP = CP \times (1 + \frac{20}{100}) = CP \times (1 + 0.2) = CP \times 1.2 \]
Therefore, we have:
\[ 2220 = CP \times 1.2 \]

4. **Solve for Cost Price (CP):**
To find CP, we rearrange the equation:
\[ CP = \frac{SP}{1.2} = \frac{2220}{1.2} \]

5. **Calculate the Cost Price:**
To simplify the division:
\[ CP = \frac{2220}{1.2} = \frac{2220 \times 10}{12} = \frac{22200}{12} \]
Now, divide 22200 by 12:
\[ CP = 1850 \]

6. **Conclusion:**
The cost price of the article is ₹1850.

### Final Answer:
Cost Price (CP) = ₹1850

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