A grinder was marked at Rs.3,600 After given a discount of 10% the dealer made a profit of 8%. Calculate the cost price.

Options

A. Rs. 3,000
B. Rs.3,312
C. Rs.3,240
D. Rs.2,960

Answer

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

### Step 1: Identify the Marked Price (MP) and Discount
The marked price of the grinder is given as Rs. 3,600. A discount of 10% is applied on this marked price.

**Hint:** Remember that the discount percentage is taken from the marked price to find the selling price.

### Step 2: Calculate the Selling Price (SP)
To find the selling price after the discount:
- Discount = 10% of MP = 10% of 3,600
- Discount = (10/100) * 3,600 = Rs. 360

Now, subtract the discount from the marked price:
- Selling Price (SP) = MP - Discount = 3,600 - 360 = Rs. 3,240

**Hint:** The selling price is what the customer actually pays after the discount is applied.

### Step 3: Understand the Profit Percentage
The dealer made a profit of 8% on the cost price (CP). This means:
- Selling Price (SP) = Cost Price (CP) + Profit
- Profit = 8% of CP = (8/100) * CP

**Hint:** Profit can be expressed in terms of cost price to relate it to the selling price.

### Step 4: Set Up the Equation
From the above, we can express the selling price in terms of cost price:
- SP = CP + (8/100) * CP
- SP = CP * (1 + 0.08) = CP * 1.08

Since we calculated SP as Rs. 3,240, we can set up the equation:
- 3,240 = CP * 1.08

**Hint:** This equation allows us to isolate CP and find its value.

### Step 5: Solve for Cost Price (CP)
Now, we can solve for CP:
- CP = 3,240 / 1.08
- CP = 3,000

**Hint:** Dividing the selling price by the profit factor gives us the cost price.

### Conclusion
The cost price of the grinder is Rs. 3,000.

**Final Answer:** Rs. 3,000