Ravi buys an article with a discount of 25% on its marked price. He makes a profit of 10% by selling it at Rs. 660. What was the marked price of the article ?

Options

A. Rs. 600
B. Rs. 700
C. Rs. 800
D. Rs. 685

Answer

To find the marked price of the article that Ravi bought, we can follow these steps:

### Step 1: Determine the Cost Price (CP)
Given that Ravi sells the article for Rs. 660 and makes a profit of 10%, we can use the formula for selling price (SP) in terms of cost price (CP) and profit percentage.

The formula is:
\[ SP = CP + \text{Profit} \]
Since profit is 10% of CP, we can express this as:
\[ SP = CP + 0.10 \times CP = 1.10 \times CP \]
Substituting the selling price:
\[ 660 = 1.10 \times CP \]
To find CP, we rearrange the equation:
\[ CP = \frac{660}{1.10} = 600 \]

### Step 2: Relate Cost Price to Marked Price (MP)
Ravi buys the article at a discount of 25% on its marked price. This means he pays 75% of the marked price (since 100% - 25% = 75%).

Let the marked price be \( MP \). Then, the cost price can be expressed as:
\[ CP = 0.75 \times MP \]
We already found that \( CP = 600 \), so we can set up the equation:
\[ 600 = 0.75 \times MP \]

### Step 3: Solve for Marked Price
To find the marked price, we rearrange the equation:
\[ MP = \frac{600}{0.75} \]
Calculating this gives:
\[ MP = 800 \]

### Conclusion
The marked price of the article is Rs. 800.

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