Robin purchased an old car for Rs.73500. He spent Rs.10300 on repairs and paid Rs. 2600 for its insurance. Then he sold it to a mechanic for Rs.84240. What was his percentage gain or loss?

Answer

To find Robin's percentage gain or loss on the sale of the car, we will follow these steps:

### Step 1: Calculate the Total Cost Price (CP)
The total cost price includes the purchase price of the car, the repair costs, and the insurance costs.

1. **Purchase Price of the Car**: Rs. 73,500
2. **Repair Costs**: Rs. 10,300
3. **Insurance Costs**: Rs. 2,600

Now, we will add these amounts together to find the total cost price.

\[ \text{Total Cost Price (CP)} = \text{Purchase Price} + \text{Repair Costs} + \text{Insurance Costs} \]

\[ \text{CP} = 73,500 + 10,300 + 2,600 = 86,400 \]

### Step 2: Determine the Selling Price (SP)
The selling price of the car is given as Rs. 84,240.

\[ \text{Selling Price (SP)} = 84,240 \]

### Step 3: Calculate the Gain or Loss
To find out whether Robin made a profit or a loss, we subtract the selling price from the total cost price.

\[ \text{Gain or Loss} = \text{Selling Price} - \text{Total Cost Price} \]

\[ \text{Gain or Loss} = 84,240 - 86,400 = -2,160 \]

Since the result is negative, it indicates a loss.

### Step 4: Calculate the Percentage Loss
To find the percentage loss, we use the formula:

\[ \text{Percentage Loss} = \left( \frac{\text{Loss}}{\text{Total Cost Price}} \right) \times 100 \]

Substituting the values:

\[ \text{Percentage Loss} = \left( \frac{2,160}{86,400} \right) \times 100 \]

Calculating this gives:

\[ \text{Percentage Loss} = 0.025 \times 100 = 2.5\% \]

### Final Answer
Robin incurred a loss of **2.5%** on the sale of the car.

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