By selling an article for Rs 660 there is a profit of 10%. What is the cost price (in Rs) of the article?

Options

A. 700
B. 600
C. 530
D. 620

Answer

To find the cost price (CP) of the article when it is sold for Rs 660 with a profit of 10%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price (SP), Cost Price (CP), and Profit.
The selling price can be expressed as:
\[ \text{SP} = \text{CP} + \text{Profit} \]

### Step 2: Express the Profit in terms of CP.
Given that the profit is 10% of the cost price, we can write:
\[ \text{Profit} = 10\% \text{ of CP} = 0.1 \times \text{CP} \]

### Step 3: Substitute the Profit back into the Selling Price equation.
Now, substituting the profit into the selling price equation:
\[ \text{SP} = \text{CP} + 0.1 \times \text{CP} \]
This simplifies to:
\[ \text{SP} = 1.1 \times \text{CP} \]

### Step 4: Substitute the given Selling Price.
We know that the selling price (SP) is Rs 660, so we can substitute this value into the equation:
\[ 660 = 1.1 \times \text{CP} \]

### Step 5: Solve for the Cost Price (CP).
To find the cost price, we can rearrange the equation:
\[ \text{CP} = \frac{660}{1.1} \]

### Step 6: Calculate the value.
Now, we can perform the division:
\[ \text{CP} = \frac{660}{1.1} = \frac{6600}{11} = 600 \]

Thus, the cost price of the article is Rs 600.

### Final Answer:
The cost price (CP) of the article is Rs 600.

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