A man purchased a scooter for RS 6250 and sold it at 8% profit. He purchased another scooter for RS 3750. After selling it, he found that he has gained 2% on the whole. Then in the sale of the second scooter, he has

Options

A. 8% loss
B. 8% gain
C. 10% gain
D. 6% loss

Answer

To solve the problem step by step, let's break it down:

### Step 1: Calculate the Selling Price of the First Scooter
The man purchased the first scooter for Rs. 6250 and sold it at an 8% profit.

**Formula for Selling Price (SP)**:
\[ SP = CP + (Profit \% \times CP) \]
Where:
- CP = Cost Price
- Profit % = 8%

**Calculation**:
1. Calculate the profit:
\[ Profit = 8\% \text{ of } 6250 = \frac{8}{100} \times 6250 = 500 \]
2. Calculate the selling price:
\[ SP = 6250 + 500 = 6750 \]

### Step 2: Calculate the Total Cost Price of Both Scooters
The man purchased another scooter for Rs. 3750.

**Total Cost Price (CP)**:
\[ Total CP = CP_{1} + CP_{2} = 6250 + 3750 = 10000 \]

### Step 3: Calculate the Total Selling Price for a 2% Profit
The man gained a total profit of 2% on the whole transaction.

**Formula for Total Selling Price (SP)**:
\[ SP = CP + (Profit \% \times CP) \]

**Calculation**:
1. Calculate the total profit:
\[ Total Profit = 2\% \text{ of } 10000 = \frac{2}{100} \times 10000 = 200 \]
2. Calculate the total selling price:
\[ Total SP = Total CP + Total Profit = 10000 + 200 = 10200 \]

### Step 4: Calculate the Selling Price of the Second Scooter
We already calculated the selling price of the first scooter as Rs. 6750.

**Selling Price of the Second Scooter (SP2)**:
\[ SP_{2} = Total SP - SP_{1} = 10200 - 6750 = 3450 \]

### Step 5: Calculate the Profit or Loss on the Second Scooter
The cost price of the second scooter is Rs. 3750.

**Profit or Loss Calculation**:
\[ Profit/Loss = SP - CP \]
Where:
- SP = Selling Price of the second scooter
- CP = Cost Price of the second scooter

**Calculation**:
\[ Profit/Loss = 3450 - 3750 = -300 \]

This indicates a loss of Rs. 300 on the second scooter.

### Final Answer
In the sale of the second scooter, he has incurred a loss of Rs. 300.

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