Ritesh sold a pen for Rs. 36 with a profit of 20% . If it were sold for Rs.33 , then what could be the percentage of profit or loss ?

Options

A. 10 % Profit
B. 15 % Profit
C. 12 % Loss
D. 18 % Loss

Answer

To solve the problem step by step, we need to find the cost price (CP) of the pen first and then determine the profit or loss when it is sold for Rs. 33.

### Step 1: Calculate the Cost Price (CP)
Given that Ritesh sold the pen for Rs. 36 with a profit of 20%, we can use the formula for selling price (SP) in terms of cost price (CP) and profit percentage:

\[ SP = CP + (Profit \% \times CP) \]

This can also be expressed as:

\[ SP = CP \times \left(1 + \frac{Profit \%}{100}\right) \]

Substituting the values we have:

\[ 36 = CP \times \left(1 + \frac{20}{100}\right) \]

\[ 36 = CP \times 1.2 \]

Now, we can solve for CP:

\[ CP = \frac{36}{1.2} = 30 \]

### Step 2: Calculate Profit or Loss when Sold for Rs. 33
Now that we have the cost price (CP) as Rs. 30, we can find out the profit or loss when the pen is sold for Rs. 33.

\[ \text{Selling Price (SP)} = 33 \]

Now, we calculate the profit or loss:

\[ \text{Profit or Loss} = SP - CP = 33 - 30 = 3 \]

### Step 3: Calculate the Percentage of Profit or Loss
Since the selling price is greater than the cost price, it is a profit. We can calculate the profit percentage using the formula:

\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100 \]

Substituting the values:

\[ \text{Profit Percentage} = \left(\frac{3}{30}\right) \times 100 = 10\% \]

### Final Answer
If Ritesh sold the pen for Rs. 33, he would have a profit of **10%**.

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