Mohan Lal purchased an old scooter for Rs. `12000` and spent Rs. `2850` on its overhauling. Then, he sold it to his friend Sohanbir for Rs. `13860.` How much per cent did he gain or lose?

Options

A. `5.3%`
B. `8.3%`
C. `7.2%`
D. `6.6%`

Answer

To solve the problem step by step, we will calculate the total cost price, the loss incurred, and then the percentage of loss.

### Step 1: Calculate the Total Cost Price (CP)
Mohan Lal purchased the scooter for Rs. 12,000 and spent Rs. 2,850 on overhauling.

\[ \text{Total Cost Price (CP)} = \text{Purchase Price} + \text{Overhauling Cost} \]
\[ \text{Total CP} = 12000 + 2850 = 14850 \]

### Step 2: Identify the Selling Price (SP)
Mohan Lal sold the scooter for Rs. 13,860.

\[ \text{Selling Price (SP)} = 13860 \]

### Step 3: Determine if there is a Gain or Loss
To find out whether there is a gain or loss, we compare the Total Cost Price (CP) with the Selling Price (SP).

Since \( CP > SP \), there is a loss.

### Step 4: Calculate the Loss
The loss can be calculated using the formula:

\[ \text{Loss} = \text{Total CP} - \text{SP} \]
\[ \text{Loss} = 14850 - 13860 = 990 \]

### Step 5: Calculate the Loss Percentage
The loss percentage can be calculated using the formula:

\[ \text{Loss Percentage} = \left( \frac{\text{Loss}}{\text{Total CP}} \right) \times 100 \]
\[ \text{Loss Percentage} = \left( \frac{990}{14850} \right) \times 100 \]

Calculating the above:

\[ \text{Loss Percentage} = \left( 0.0667 \right) \times 100 \approx 6.67\% \]

### Final Answer
Mohan Lal incurred a loss of approximately **6.67%**.

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