Marked price of an article is Rs 360 more than its cost price. If profit earned is equal to the discount given then find the profit earned?

Options

A. A)Rs 190
B. B)Rs 200
C. C)Rs 150
D. D)Rs 180

Answer

To solve the problem step by step, we can follow these steps:

### Step 1: Define the variables
Let the cost price (CP) of the article be \( x \). According to the problem, the marked price (MP) is Rs 360 more than the cost price.
So, we can express the marked price as:
\[ MP = x + 360 \]

**Hint:** Start by defining the variables based on the information given in the question.

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### Step 2: Set up the equations
We know that:
- Selling Price (SP) = Cost Price (CP) + Profit (P)
- Selling Price (SP) = Marked Price (MP) - Discount (D)

Since it is given that the profit earned is equal to the discount given, we can write:
\[ P = D \]

Now, substituting these into the equations, we have:
\[ SP = x + P \]
\[ SP = (x + 360) - D \]

**Hint:** Use the relationships between selling price, cost price, profit, and discount to create equations.

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### Step 3: Substitute the profit and discount
Since \( P = D \), we can substitute \( D \) with \( P \) in the second equation:
\[ x + P = (x + 360) - P \]

**Hint:** Substitute the known relationships into the equations to simplify them.

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### Step 4: Rearrange the equation
Now, rearranging the equation gives:
\[ x + P + P = x + 360 \]
\[ x + 2P = x + 360 \]

**Hint:** Combine like terms to isolate the profit variable.

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### Step 5: Solve for profit
Now, we can simplify this equation:
\[ 2P = 360 \]
Dividing both sides by 2:
\[ P = 180 \]

**Hint:** Solve for the variable by isolating it on one side of the equation.

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### Conclusion
The profit earned is Rs 180.

**Final Answer:** The profit earned is Rs 180.

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