Kabir buys an article with `25%` discount on its marked price. He make a profit of `10%` by selling it at Rs. 660. The marked price is-

Options

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

Answer

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

### Step 1: Find the Cost Price (CP)
Kabir sells the article for Rs. 660 and makes a profit of 10%. We can use the formula for Cost Price (CP) based on Selling Price (SP) and Profit Percentage:

\[ CP = \frac{SP \times 100}{100 + \text{Profit Percentage}} \]

Substituting the values:

\[ CP = \frac{660 \times 100}{100 + 10} = \frac{660 \times 100}{110} \]

Calculating this gives:

\[ CP = \frac{66000}{110} = 600 \]

### Step 2: Relate CP to Marked Price (MP) using Discount
Kabir bought the article at a 25% discount on its marked price. This means that he paid 75% of the marked price (since 100% - 25% = 75%).

We can express this relationship as:

\[ 75\% \text{ of MP} = CP \]

Substituting the value of CP we found:

\[ 0.75 \times MP = 600 \]

### Step 3: Solve for Marked Price (MP)
To find the marked price, we can rearrange the equation:

\[ MP = \frac{600}{0.75} \]

Calculating this gives:

\[ MP = 600 \div 0.75 = 800 \]

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