The marked price of a chair is 40% more than its cost price. If the chair is sold for Rs 520 after a discount of Rs 40, then wha twill be the profit percentage?

Options

A. 33
B. 40
C. 25
D. 30

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Define the Variables
Let the cost price (CP) of the chair be \( x \).

### Step 2: Calculate the Marked Price (MP)
The marked price (MP) is 40% more than the cost price. Therefore, we can express the marked price as:
\[ MP = CP + 0.4 \times CP = 1.4 \times CP = 1.4x \]

### Step 3: Determine the Selling Price (SP)
The chair is sold for Rs 520 after a discount of Rs 40. Therefore, the selling price (SP) can be calculated as:
\[ SP = MP - \text{Discount} = MP - 40 \]
Substituting the value of SP:
\[ 520 = MP - 40 \]
From this, we can find the marked price:
\[ MP = 520 + 40 = 560 \]

### Step 4: Relate Marked Price to Cost Price
Now we know that:
\[ 1.4x = 560 \]
To find the cost price \( x \), we solve for \( x \):
\[ x = \frac{560}{1.4} = 400 \]

### Step 5: Calculate the Profit
Now that we have the cost price, we can calculate the profit:
\[ \text{Profit} = SP - CP = 520 - 400 = 120 \]

### Step 6: Calculate the Profit Percentage
The profit percentage can be calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{CP} \right) \times 100 \]
Substituting the values we found:
\[ \text{Profit Percentage} = \left( \frac{120}{400} \right) \times 100 = 30\% \]

### Final Answer
The profit percentage is **30%**.

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