The ratio of marked price and cost price of an article is 6:5. If 15 % discount is given, how much is the profit (in per cent) ?

Options

A. 4
B. `0.2`
C. 2
D. 1

Answer

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

### Step 1: Understand the given ratio
The ratio of the marked price (MP) to the cost price (CP) is given as 6:5. This means that for every 6 parts of the marked price, the cost price is 5 parts.

### Step 2: Assign values to MP and CP
Let's assign values based on the ratio:
- Marked Price (MP) = 6x
- Cost Price (CP) = 5x

To simplify calculations, we can choose a specific value for x. Let’s take x = 100.
- MP = 6 * 100 = 600
- CP = 5 * 100 = 500

### Step 3: Calculate the discount
A discount of 15% is given on the marked price. We need to calculate the amount of discount:
- Discount = 15% of MP = 15% of 600
- Discount = (15/100) * 600 = 90

### Step 4: Calculate the selling price (SP)
The selling price can be calculated by subtracting the discount from the marked price:
- Selling Price (SP) = MP - Discount
- SP = 600 - 90 = 510

### Step 5: Calculate the profit
Profit is calculated as the difference between the selling price and the cost price:
- Profit = SP - CP
- Profit = 510 - 500 = 10

### Step 6: Calculate the profit percentage
Profit percentage is calculated using the formula:
- Profit Percentage = (Profit / CP) * 100
- Profit Percentage = (10 / 500) * 100 = 2%

### Final Answer
The profit percentage is **2%**.

---