A dealer buys an old cooler listed at Rs. 950 and gets a discount of `10%`. He spends Rs. 45 for its repair. If he sells the cooler at a profit of `25%`, then the selling price of the cooler is

Options

A. Rs. 1125
B. Rs. 1215
C. Rs. 1251
D. Rs. 1512

Answer

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

### Step 1: Calculate the Discount Amount
The dealer buys the cooler listed at Rs. 950 and receives a discount of 10%.

**Calculation:**
- Discount = 10% of Rs. 950
- Discount = (10/100) * 950 = Rs. 95

### Step 2: Calculate the Cost Price After Discount
Now, we subtract the discount from the listed price to find the cost price.

**Calculation:**
- Cost Price (CP) = Listed Price - Discount
- CP = 950 - 95 = Rs. 855

### Step 3: Add Repair Costs to the Cost Price
The dealer spends Rs. 45 for repairs. We need to add this to the cost price calculated in the previous step.

**Calculation:**
- Total Cost Price = Cost Price + Repair Cost
- Total Cost Price = 855 + 45 = Rs. 900

### Step 4: Calculate the Selling Price with Profit
The dealer wants to sell the cooler at a profit of 25%. To find the selling price, we use the formula:

**Selling Price (SP) = Cost Price + Profit**
- Profit = 25% of Cost Price
- Profit = (25/100) * Total Cost Price = (25/100) * 900 = Rs. 225

Now, we can find the selling price.

**Calculation:**
- SP = Total Cost Price + Profit
- SP = 900 + 225 = Rs. 1125

### Final Answer
The selling price of the cooler is Rs. 1125.

---