A shopkeeper offers 13% discount on a car tyre with a marked price of Rs 8800. If he still earns a profit of Rs 1200, what is the cost price of the tyre?

Options

A. Rs 6450
B. Rs 6456
C. Rs 6654
D. Rs 6546

Answer

To find the cost price of the tyre, we can follow these steps:

### Step 1: Calculate the Selling Price
The shopkeeper offers a 13% discount on the marked price of Rs. 8800.

To find the selling price after the discount:
- Discount = 13% of Rs. 8800
- Discount = (13/100) * 8800 = Rs. 1144

Now, subtract the discount from the marked price to find the selling price:
- Selling Price = Marked Price - Discount
- Selling Price = 8800 - 1144 = Rs. 7656

### Step 2: Relate Selling Price to Cost Price
We know that the selling price is also related to the cost price and profit:
- Selling Price = Cost Price + Profit

Given that the profit is Rs. 1200, we can express this as:
- Selling Price = Cost Price + 1200

### Step 3: Set Up the Equation
Now we can set up the equation using the selling price we calculated:
- 7656 = Cost Price + 1200

### Step 4: Solve for Cost Price
To find the cost price, we can rearrange the equation:
- Cost Price = Selling Price - Profit
- Cost Price = 7656 - 1200
- Cost Price = Rs. 6456

### Final Answer
The cost price of the tyre is Rs. 6456.

---